{"pages":{"search":{"query":"LOGA","originalQuery":"LOGA","serpid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","parentReqid":"","serpItems":[{"id":"2059446650361777249-0-0","type":"videoSnippet","props":{"videoId":"2059446650361777249"},"curPage":0},{"id":"962273071350185259-0-1","type":"videoSnippet","props":{"videoId":"962273071350185259"},"curPage":0},{"id":"10976996452804996088-0-2","type":"videoSnippet","props":{"videoId":"10976996452804996088"},"curPage":0},{"id":"video-related-suggest-0-3","type":"relatedSuggest","props":{"title":"Bunlar aranıyor","columns":[[{"text":"Log base 10","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Log+base+10&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Natural logarithm","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Natural+logarithm&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Logarithm properties","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Logarithm+properties&source=video-related-suggest&rq=1&src=int_discovery_recommender"}],[{"text":"Loga calculator","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Loga+calculator&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Lnx","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Lnx&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Exponential function","src":"int_discovery_recommender","is_rec":1,"url":"https://gs.yandex.com.tr/search/?text=Exponential+function&source=video-related-suggest&rq=1&src=int_discovery_recommender"}]]},"curPage":0},{"id":"10067869192250505048-0-4","type":"videoSnippet","props":{"videoId":"10067869192250505048"},"curPage":0},{"id":"R-I-113683-5-0-5","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":5,"grab":"dExPR0EK","statId":5,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","ui":"desktop","yuid":"1629522481766667937"}}},"isAdult":false,"position":5,"placement":"empty"},"curPage":0},{"id":"1310953805042495953-0-6","type":"videoSnippet","props":{"videoId":"1310953805042495953"},"curPage":0},{"id":"1746391851037041589-0-7","type":"videoSnippet","props":{"videoId":"1746391851037041589"},"curPage":0},{"id":"2285595501893459894-0-8","type":"videoSnippet","props":{"videoId":"2285595501893459894"},"curPage":0},{"id":"2492152342009669012-0-9","type":"videoSnippet","props":{"videoId":"2492152342009669012"},"curPage":0},{"id":"14567772155685508455-0-10","type":"videoSnippet","props":{"videoId":"14567772155685508455"},"curPage":0},{"id":"5456265248478716271-0-11","type":"videoSnippet","props":{"videoId":"5456265248478716271"},"curPage":0},{"id":"R-I-113683-5-0-12","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":12,"grab":"dExPR0EK","statId":12,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","ui":"desktop","yuid":"1629522481766667937"}}},"isAdult":false,"position":12,"placement":"empty"},"curPage":0},{"id":"4492104543180505918-0-13","type":"videoSnippet","props":{"videoId":"4492104543180505918"},"curPage":0},{"id":"6805242242328194255-0-14","type":"videoSnippet","props":{"videoId":"6805242242328194255"},"curPage":0},{"id":"5157180392857723119-0-15","type":"videoSnippet","props":{"videoId":"5157180392857723119"},"curPage":0},{"id":"11331022384080236948-0-16","type":"videoSnippet","props":{"videoId":"11331022384080236948"},"curPage":0},{"id":"8840232457927294418-0-17","type":"videoSnippet","props":{"videoId":"8840232457927294418"},"curPage":0},{"id":"10023272982282718804-0-18","type":"videoSnippet","props":{"videoId":"10023272982282718804"},"curPage":0},{"id":"9226393431765810592-0-19","type":"videoSnippet","props":{"videoId":"9226393431765810592"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dExPR0EK","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","ui":"desktop","yuid":"1629522481766667937"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DLOGA"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"5953721872559155187174","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1457142,0,51;1374659,0,2;29575,0,16;1397828,0,27;82359,0,68;1447484,0,56;1455916,0,21;1152684,0,90;1444119,0,44;1455695,0,89;1454918,0,33;1443002,0,64;1455269,0,22;1447942,0,52;1455767,0,9;1457071,0,54;1456173,0,26;1282204,0,85;1447624,0,69;1453815,0,84;1449984,0,68;1455401,0,95;1452051,0,40;1349071,0,71;1452328,0,97;1454043,0,65;1404022,0,65;1458605,0,86;1454336,0,27;1442117,0,42;1455157,0,76;1456200,0,46;901040,0,41;151171,0,62;126344,0,17;126351,0,54;1459210,0,44;1281084,0,16;287509,0,37;86182,0,25;1447467,0,51;790823,0,41"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DLOGA","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=LOGA","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=LOGA","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"LOGA: Yandex'te 3 bin video bulundu","description":"Результаты поиска по запросу \"LOGA\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"LOGA — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y06724037435fcdf0f0c8ec71330b0f2b","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1457142,1374659,29575,1397828,82359,1447484,1455916,1152684,1444119,1455695,1454918,1443002,1455269,1447942,1455767,1457071,1456173,1282204,1447624,1453815,1449984,1455401,1452051,1349071,1452328,1454043,1404022,1458605,1454336,1442117,1455157,1456200,901040,151171,126344,126351,1459210,1281084,287509,86182,1447467,790823","queryText":"LOGA","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1629522481766667937","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1458063,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1766667997","tz":"America/Louisville","to_iso":"2025-12-25T08:06:37-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1457142,1374659,29575,1397828,82359,1447484,1455916,1152684,1444119,1455695,1454918,1443002,1455269,1447942,1455767,1457071,1456173,1282204,1447624,1453815,1449984,1455401,1452051,1349071,1452328,1454043,1404022,1458605,1454336,1442117,1455157,1456200,901040,151171,126344,126351,1459210,1281084,287509,86182,1447467,790823","queryText":"LOGA","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1629522481766667937","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"5953721872559155187174","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":165,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"1629522481766667937","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1742.0__8af03832083ed6adf7e3d2fcac57db312d5cb391","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"2059446650361777249":{"videoId":"2059446650361777249","docid":"34-1-15-Z28199FC22C18B591","description":"from Government Schools . Students got selected in various reputed engineering colleges of India like : IIT, Delhi Technical University, NIT's etc.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2203268/6803d3f481ec91c93674b3686d267bd8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/B6JURwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D3OApfgPzN14","linkTemplate":"/video/preview/2059446650361777249?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Logarithmic, loga- logb=log (a/b), prove that log(a/b)=loga- logb, logarithm , Logarithms, PART-3","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3OApfgPzN14\",\"src\":\"serp\",\"rvb\":\"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_AaCBCQBgAQrKosBEAEaeIH7_wH_-wYA8AULBRAD_QD-C_jz-P7-AAMGAvkFBP4A9fcD__gAAAAGAgMD9gAAAPv89fr2_gEA_gX8_wQAAAAKCAr-AwAAAAL4AQYAAAAA-fn-BgP_AAAGAAgAAAAAAPYE_wD__wAABAf-_gAAAAD19fv_AAAAACAALcSf4zs4E0AJSE5QAiqEAhAAGvABfxET_vjmxAPe9-z_yCP3AJ01A__8NdEAyxED_8r_6wHhLPf_5_0AAPXsD__iLQcAQfXI__nOAgAjvvb_IOXuAMAS-wAcAwIDXgYeAPXp9gDfAT7-8dQF_hLp-_8OGvL-Dw8R_TAa7f8FMNYDOg8JABjsPAA27xkB8cQI__X38_7r3Nj99yMFBQPU__nF_iABAtv0AgnhAf_kBPEBFOz2Cu3wCv8tN9T_MurtCA4TAAPBDAMI9PHzBxYHEwbfD-8D1vEvBtD56_QJChwGDuYJ_ewN7Pka6Ov7DOsL-gUAEwgE3vj50vQJCdIL_RT7HvD6IAAtHUYQOzgTQAlIYVACKs8HEAAawAdxzLq-5q8LOkfhIbycTee9U5VWvVy1RjyrIgy-EgCHPZuIozy8P4493ZMoO4ngKb1uige-v2rAPOZddbzLgDM-5tGIvZhiMzyG4wm-3yD1PKwBKr3n_iq-Xcv_PEh0Kjw7noA9KMAGvZGM5jrfMuc9GpfgvMdiGz1viwi9Q0cHuiPYGL35Rrm9U5ecvWWa37wFKYK8mn5EvWbPrzwLVRs95J_8uzjU1rvO9g09c4vUvN_RsbsdsKs8nQyzPZLSR7wJeZM9DdbJPPyOYTzc9Be-5CJIvZee-rs1JuS9KJ0ovZSqxLviEx-86P_wPOjOHb1ik6k7cSrIvchqqbwNUyu-XLKmO2K6Nbyj1Y89p3J_vKzCqLp4dJi9hTMpPSPb-bxwfTM8ec27veP5sbwA8oQ9iSsCPfgrLjynKog9v8KXu9vmfDyUBk29P4zQPcZPozzjghg9I6eqvdbcl7u6h389Jc53um_TYTuqOI-9ISNbPbM7qDvd9EI7_QURPWNFqjshjS88qkeaPLzPcTznhT-7YYGpvesIFryueXq9wDwJvfm-ODtqNg08n3sqPTHJbbxO8M09ZjPnvf9XADxqMYi99h9evWl0A7mxKQE9K3KjvLYiezwZgUK9I7EOvTFSGLwoclK9dDAxPT6p_rvEknY732-kPVxAwzqnPeW864wPviXevbdjpJ09agYnPZCf8Dq6np0903vTO3k1ijq4IlE9FFvhvVstybpAwSW9KdaUvYg_lzlO82m8e7aDvRyb27pq3oE9UWZovQIWhDnVCP08vb31PCKsjrkmbLS9ZEDWPVwmEDgxTYm7jR1EuouCqDjLovC8W0IevjcF4zk3Aqy9KFFlPYZHMbg4k4A9NMSMPWu50LjMIMO91A0EvghThTktPR48OUlOvCHoc7gF-ak9wiS7PVrbvTcq1XS8Vu2_PLMfcTefuzO9JTubPNJ4IzkUo6g9bOr-OzroIDm-58Y9AB2mvWpDhjlQiIU9RghvPR_WJjhaxvy8qVBYPSraBLWiCKk9PFDnPcSN9jhhfIc9kvMTPCsCYbimK9g9RpgCPYFGf7jEiIO9r3JtPRlrqjjwlQ89SpaoPX840ThQwky8L-mePFs8hriEG1-82hU_PSRUDjiSXRk-2U9QvazCP7lcSQG9yt7SvRciBLkeKng7JQTrvSO_ZziGzYu9CLDoPVSzlji1Cxs83txpvU2DHbjK9HA9IuErPvHLijjiGK48b6WiPUwnUrj86gW9hrC1PFnKareYZ0q9QRQnPPJETDcgADgTQAlIbVABKnMQABpgMvMAJ_wr9Q3q4-v87Bkb2tEC1BPt7f_x4v_zMwf58Ofe4PoB_0PQGv6wAAAAQCLMIvoA8Gz97uEp49jms5vgGvV_3xQUuw0ozafaA_8o_vXsBAJxAOrrsgEHFM4dFQMtIAAtoA8pOzgTQAlIb1ACKq8GEAwaoAYAAOBBAABAQQAAAMAAABjCAACQQQAAQMAAAGBCAACIQgAAkMEAAADCAADgQQAAwMEAAGTCAACAQQAALEIAAIA_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_AABwQgAAYMIAAOhBAADgwAAAQEIAALDBAADAwgAAAEAAABRCAAAcQgAAIMEAAHBBAACAwQAAsMEAAFDBAACAwAAAwMAAALDBAABAwAAA-EEAAODAAABQwQAACMIAAKjBAACewgAAwsIAACBCAAAgwgAAAEAAANBBAAAwwQAAQEAAABBBAAAMQgAAjkIAACDBAADIQQAAQMIAAKZCAACOwgAAEEIAAFDBAADAwAAAOMIAAIDAAAB4QgAAmEEAALDBAACWwgAAmMEAAEDAAACUQgAABMIAAJDBAAD4QQAAAMEAAJjBAACowQAA4MAAAABCAACoQQAAlEIAAFBCAAAswgAAsMEAAEjCAABowiAAOBNACUh1UAEqjwIQABqAAgAAiL0AADy-AAAQPQAA-L0AANi9AAABPwAAJD4AADu_AAD4vQAALL4AAHA9AADSvgAA-L0AAKo-AADovQAA-L0AAOg9AADIvQAA4DwAAPI-AAB_PwAALL4AADA9AAAMvgAAjr4AADC9AABwPQAAHL4AAOi9AAAQPQAAlj4AAEA8AAAUvgAAFD4AAOA8AADIvQAAJD4AAOi9AADivgAAoDwAAJK-AACovQAAoLwAAIC7AACgPAAALD4AAJo-AAAcvgAADL4AAJa-AACOvgAAVL4AAEw-AACoPQAAzr4AAHA9AAA7PwAA-L0AAEC8AAAZPwAAuL0AAKI-AAAwPQAAiD0gADgTQAlIfFABKo8CEAEagAIAAIC7AACoPQAA6L0AACG_AABUvgAAQDwAAEw-AAAUPgAABL4AAPg9AAAwPQAATL4AAEC8AABsvgAARD4AAJi9AAAwvQAAET8AALi9AACePgAABD4AABA9AACAOwAAiL0AAKA8AACgPAAARL4AACQ-AABkvgAAmL0AALg9AAAwPQAAQDwAAIA7AAAsPgAARL4AAII-AACWPgAAhr4AAFA9AACGPgAAgLsAAIi9AAAwPQAAMD0AACy-AAB_vwAAUD0AAFC9AADgPAAAQDwAAAQ-AABQPQAARD4AAPg9AADYPQAAuL0AAOg9AABAvAAAoLwAANg9AACqPgAAFD4AAOC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=3OApfgPzN14","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["2059446650361777249"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1598046425"},"962273071350185259":{"videoId":"962273071350185259","docid":"34-4-3-ZADFC0E0F9A0E5E20","description":"#sindhtextbook #logarithm #class10 #class9 #class8 #ex3 #karachiboard loga 1/25=-2/3 | Find the value of a in the following | logarithms | ex 3.2...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3741532/6e313eaae34a514e3952fe673397774e/564x318_1"},"target":"_self","position":"1","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DfXdlXUBafQQ","linkTemplate":"/video/preview/962273071350185259?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"loga 1/25=-2/3 | Find the value of a in the following | logarithms | ex 3.2","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=fXdlXUBafQQ\",\"src\":\"serp\",\"rvb\":\"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_E5oCggQkAYAEKyqLARABGniB9wX3_P4CAOkGDgMEAf8ACwz29_YAAADxAfcCBwH_AOwKAgb7AAAACwr4CvwAAAADAfkF8v4BAAP7_AIEAAAADf_4-wcAAAAK_QQL_wEAAPz4Av8C_wAA-wD8AwAAAAD4Cwf6-_8AAAUH_v4AAAAA9v3-AAAAAAAgAC1aINg7OBNACUhOUAIqcxAAGmAmEQBIPA3u_9kt4ezz8Bn85vb40dMOAAHJAO4U_uzy8t3cCOn_SLEiBbEAAAAPJMwjJwDlZATmzDYM_uWzytDr8H8mB_wRHyHqs-MUGScC6eAR60oA1N0RA_bW4xwKPTQgAC1M1y87OBNACUhvUAIqrwYQDBqgBgAAKEIAAKDAAAB4QgAAnMIAAMhBAABQQQAAsEIAAABAAACAvwAAkEEAAAxCAABAwAAAHMIAACDBAACgQgAAgEAAAABBAADgwQAAuEEAAPDBAADQwQAAdMIAAJrCAAB8QgAA0MEAACDBAAAAQAAAiMEAAADAAADgQQAAfMIAAABBAAA0wgAAuEEAABDCAACAQAAAIMEAALRCAACQQQAAFEIAABxCAAAUQgAAiEIAAMDBAABcQgAAaMIAAEBAAAAEQgAAmEEAACBCAACwwQAALMIAAHDBAAAkQgAAFEIAAOBBAACYwgAAwEEAAJhBAACKQgAAcEEAAHDCAAAgwQAAVMIAANBBAACowgAAgL8AAFjCAAAwwgAAJMIAAKBCAACeQgAAkMIAAIJCAABQwgAAVMIAACTCAADAwAAA-EEAAIDBAADYwQAAEEIAAABCAAD4QQAAgMIAALhBAABgwQAAGEIAAEDBAAAEwgAA-MEAAGBCAABwwgAAKMIAAIBBAACAwQAARMIAAJhBAACuQgAABEIAABTCAAAYQgAAqEEAAEzCAAAswgAAKEIAAIA_AABgQQAAgEAAAIhCAAB8QgAAiMEAAETCAAAAQAAA2MEAAABCAADgwAAAXMIAAAAAAACQwQAAsMEAAOjBAACgwAAAAMEAAODAAACIQQAAAEAAABDCAAAgwgAAIEEAAPDBAAC4wQAAoMEAAIxCAADgwAAAAEIAAOBAAABwQQAAqMEAAJTCAACYQQAAgEIAAFBBAAAYwgAANEIAAKBBAABAwgAAyEEAAABBAABQQQAA6MEAANBBAACAPwAAAMIAAIDBAADYwQAAqMEAAFzCAACIwgAAQEAAADTCAAA8QgAAmEEAAPjBAADAQAAA4MAAAIDBAABQQgAAsEEAAADBAACCwgAAAMAAACDBAAAAwgAAwMIAALBBAAAQwgAANMIAANBBAAAIQgAAdMIAAEjCAAAAAAAAoMAAAMhBAAB8wgAAgsIAAJjCAAD4wQAAKEIAAAhCAABQwgAAwEEAAADBAADQQQAA4EEAAHjCAACaQgAAwMEAABjCIAA4E0AJSHVQASqPAhAAGoACAABsPgAAyL0AAEQ-AADYvQAA2D0AAIY-AADoPQAAUb8AALi9AAAcPgAA-L0AALa-AACIvQAABD4AAMi9AABQvQAAiD0AAAw-AABMvgAA-j4AAH8_AADoPQAAdL4AAKg9AAAUvgAAHL4AAPg9AAD4vQAAJD4AAIi9AAAEPgAAfL4AAOA8AABwPQAAQLwAANi9AAC4vQAAbL4AAK6-AABkvgAAkr4AADC9AABAvAAAZL4AAPi9AACevgAAgLsAAAQ-AACKPgAA4DwAACQ-AADYPQAAQLwAALI-AAAjvwAAcL0AAH8_AAAkvgAAoDwAALg9AAAsvgAAQLwAAJ4-AADovSAAOBNACUh8UAEqjwIQARqAAgAAZL4AAIA7AACYPQAAPb8AAJK-AADYvQAA-D0AAPg9AAA0PgAAQLwAALi9AAAUvgAAiL0AABy-AACoPQAAgDsAAFA9AADyPgAAmL0AAJ4-AAA8vgAAiL0AAAy-AAD4vQAA4DwAAFC9AABAPAAAED0AAKi9AAAQvQAAML0AAIo-AACovQAAcL0AABw-AACAOwAAjj4AAAk_AABMvgAAUD0AAPg9AAAkvgAAfL4AAEA8AABAvAAAhr4AAH-_AAD4PQAABL4AAOg9AAAkPgAAoLwAAPg9AAAUPgAA4DwAALg9AAAQvQAADD4AAHC9AACYvQAAZD4AAFC9AACAuwAA-D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=fXdlXUBafQQ","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["962273071350185259"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10976996452804996088":{"videoId":"10976996452804996088","docid":"34-3-2-Z7E1BA7B9117D9D80","description":"More Lessons: http://www.MathAndScience.com Twitter: / jasongibsonmath In this lesson, you will learn what a logarithm is and why they are important in all branches of math, science, and engineering.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2461135/834e9da5aa384434055f7dd16994b4f3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/V3aX_wAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dmc8Ki0_yzWA","linkTemplate":"/video/preview/10976996452804996088?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases)","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mc8Ki0_yzWA\",\"src\":\"serp\",\"rvb\":\"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_E4sVggQkAYAEKyqLARABGniB6gUC-v4CAO8FDAURA_0ACQn_-PYAAAD1APX0AwL_AP34Dv_4AAAA9wUCAgAAAAD9-er-_v0AAPwD-f37AAAACgAH_PwAAAD9AvYE_gEAAPIHAg4E_wAACvcKAgAAAADsDvT-_wAAAAIRAQgAAAAABf_69gAAAAAgAC26iNU7OBNACUhOUAIqhAIQABrwAX8A9QOmDuX8K_7mABUG8ACwDwkAOgsJAdr5_wDNF_MAHyH7AOHt6gEB-_0A6hQV_w4D8AAA5fkA6gTj_1Mi_P8Q9woAK-T-AAr5-v8DBd4AAgn9_wAICf4b3_gBIhrxARz-Gv_TAOQA-gH5BQvsCwLzBxIE2__1__LoH_73HhADEOv5ABsC_gPv-_z88BQTAAbyDwPt9fj66fAIBO8K7wQO6en6LwTnAQn4_QkPBN0AGPn1_Qn89AcW-xoE6Qr0AgLnCQDzBQsEDgoD9zT1__3zAQP57egN_wMC7wz-9_D8Aw0B_-joBvrb_fIJ4-sBAyAALfclTTs4E0AJSGFQAirPBxAAGsAHLCvNvsgw3Tq9SDK9w-a9PcFLGr0bSxg8Pom5PZClKj1VxXG71IEMPlK9gL0C0sC7tw2TvhtUEzwbtBy9_b10PpJUS70Dsew81ClPvq0eZrxH3XO8Efw_vn9geD0QRBK8R8xnPX6K4z1C6KA7MEfPPDi6j73yJyo8TbCJvIvBg70033u7Uc2mPQAbEL3Whem8xB21OyQlXb01P6O8BcHjPck45r0UjG879WItPVlUnzxxu-E70s6PvecpobwQ3_C7tYwkPj--6bxka4c8MHSZO8O2ZT0HVTQ8pOt4PCU2RLzWsPy7EGYJvRliSz0lIvy874jvPLlnkj2_AIw8X5O6vWpnPbywpey8Puq_Pei0-Dx2Co-3GD5ivXa3fD0W3ys8EsnGPCpPhbxCQ3-8D6-QPB36djsFAri8My02PSAqTT2lKx47nTadOxGNbrzxgsa7cXEWvCNuKTxHSNE7GqPVvc7IgDq_qoQ8ZiQMPc84w7xsuwG8aVfMPaYTJD1tKws8ggT_O6zR4TztLUC8cAEtva9kkr04kCK7P8JVPKpTdL0aBXe8fkkTvK7IuT2_oGA8E8oMPZgkhbyYQrG7GOzGPDsztr2g4Sw7p3bmPVx8gLyCm5w7QbltPdsDQz3FMuS7Ul8WPexqsrzhhzm8cuyPvImTQD1NsCw7O4kMvARpEL1BFp47oZebPZ85i70kmE27dg-avcilIL31ikW6yCOtPd4R3zwIVU27KlkpvJtUVL1vHdI7iVaTO7CFqryKAZa7PmFEPecDfb0nlr24GFWQPXiLMT1gxBI5bTmXvE7ehj1lrk-64PgVvWdTZL1S6ym4ppf4vfOrqb2qNHU4BpbIPCrkKj3lkhG5gFUkvUK3cr3uLg86Ix8qPchHpr0DqoI4zSO_PUnVpj0LzNo2e7O4O1_2Rj00o924kUKJPaLjNLyGlpK4cuGbPdJ-Vb0UJH25FKOoPWzq_js66CA5I6yMPfRsBr7PcKU5Hs6yPLYlVz2rSUy3jAiAPUtM4TzSpBw4u_drvf3lmT2BRjG5zMgKvbNPNr22j9U4mCsoPSinLLwMj4g4AIshvVjm7T2dLtw45_KAPdWIKj2kgWA4yEpnPdwnrDyzofg1QUfrvWxeVbzUEay3oFTLPffxxrwtj9W4l1YTvgwgrL05jfE1ZhK1PF6hz72AurI32EuevcAasTyU1_e2nIbJO3AyAL3DHRk3ak8ZPqlumT0IAjK3-osPvX92hr1BW-e1YEanvReBELuTdNk3mt1JvC5Adj1AIv03IAA4E0AJSG1QASpzEAAaYDEGACz_Lxn4zUHf5_sIEd72Dvvo2ur_9v4ABRIB6v8Hzb0BFf9cwALvsQAAABL_1CsAABBp5-uqDw3O9KG96Q_nfwf2Gr4AFbiu5N8IDgHa9vEPSwDW5qkSEgLIFCAPGiAALak5KDs4E0AJSG9QAiqvBhAMGqAGAAAQQgAAoMAAAI5CAAAwwgAACMIAAMBAAACsQgAAyEEAAMhBAACQwQAAgMAAABBBAAA0wgAAAEEAAKBBAAAQQQAAMEEAAIbCAACuQgAA4MEAABDCAAAswgAA-MEAAOhBAABgwQAA8EEAADDBAAC4QQAAMMEAAIBCAADowQAAFEIAACTCAABAQAAA_sIAAGBBAAAkQgAAfEIAAEBBAACgQQAAgD8AAMDAAACwQQAAUMEAAMhBAABEwgAAoMAAAAAAAADoQQAAEEIAADDBAAAowgAAmMEAAKjBAAA4QgAAqMEAAFTCAAA8wgAAUEEAAADAAACuQgAAyMEAAKTCAADYwQAAAEAAAMDCAABAwgAA_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-AABTvwAA8r4AAAw-AAA0vgAArr4AABA9AAAkPgAAdL4AAHC9AACAuwAAQLwAAEC8AADmPgAAfz8AABy-AABUPgAAcL0AAES-AABwPQAAVD4AAEy-AAAwvQAAMD0AAL4-AAD4vQAAoLwAAAS-AADYPQAA6L0AAAw-AACivgAAtr4AAFQ-AACGvgAALL4AANg9AABEvgAAPD4AAO4-AAD4PQAAHL4AAOC8AAC-vgAALL4AAGS-AADgvAAAPD4AADC9AAAwPQAAOT8AALi9AABwvQAAGT8AAHC9AACePgAAFD4AAPi9IAA4E0AJSHxQASqPAhABGoACAADgvAAAnj4AADy-AAALvwAAfL4AABC9AACSPgAArj4AAIC7AAAcPgAAHD4AACS-AADgPAAAdL4AAOg9AABAvAAAED0AAAk_AADIvQAAyj4AAEA8AAAkPgAAMD0AACy-AABwvQAAFL4AAJa-AAAEPgAAhr4AACS-AAAQPQAA-D0AAHS-AABAPAAAND4AALq-AACuPgAAND4AALq-AACAuwAA4LwAAHC9AACmvgAAcD0AADw-AADYPQAAf78AAOA8AADYvQAADL4AAAw-AACiPgAA6L0AAJo-AABUPgAADD4AALi9AAAkvgAAhj4AAIg9AADgPAAAHD4AADw-AABMviAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=mc8Ki0_yzWA","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":3840,"cheight":2160,"cratio":1.77777,"dups":["10976996452804996088"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1811604437"},"10067869192250505048":{"videoId":"10067869192250505048","docid":"34-1-6-ZD18945AED9A4FF6A","description":"More Lessons: http://www.MathAndScience.com Twitter: / jasongibsonmath In this lesson, you will learn how to simplify logarithms in expressions and in equations. We will learn that a logarithm...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3413228/defc8f3305729af22a5f3184d403a6a6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/z6Q5CwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"4","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DbjsYdM2oym8","linkTemplate":"/video/preview/10067869192250505048?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"16 - Simplify Logarithms - Part 1 (Log Bases, Calculate Logarithms & More)","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=bjsYdM2oym8\",\"src\":\"serp\",\"rvb\":\"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_E4UHggQkAYAEKyqLARABGniB9_78AP4DAOsOBQYBAv8A_gv48vf-_gD0EfoCBgL_AAHxBP_6AAAA_gsHAgAAAADzA_j6_AAAABUJ_f8EAAAAFfkP-vcAAAD_8wYB_wEAAP3_AgYE_wAACfcKAgAAAAD3FPcE__8AAAAR_f8BAAAA_PL97wAAAAAgAC0AU9s7OBNACUhOUAIqhAIQABrwAX_0_wC069H-xBPiADfV7QC-IjT_Ly8MAKn6HAHUBt8B-A0XAPztFv_AKuz_w0X0APz4y_7g5QgAAM3i_w8Y-QAUCAcBE_wjAVAWEQES5A3-3yIu_eXiCgH78-cBXiPN_gr6IQEQB-oCD__TAwofNgMNCC0E0g34APHECP_tEwEF8_ru_xsPBwQM6P8D1wUjAhv69wHnDO_3ySHr_-fI9__55uv3-jzk-h8R6AUtJOb-3uvuBQgB_vr8BP4D3Cbk_uYZI_719Q3vDC8V-f_d6wkMAdj23OLxCvvy9_fxBxD2-v33AcHs-Pf27esKAPfy_SAALaQ3ETs4E0AJSGFQAirPBxAAGsAHZmvFvn5zf7wjTfq7RLvvPA3hOL36Uq47SV4nveNVVj2mv8289rZJPpJSir1RVw09lpNAvqLMqzzo0mQ8teGQProRNr0aiTA9ehcvvgg8MD0pn9S881kOvjhvNz12-yy7R8xnPX6K4z1C6KA7UyQdPBsNQL296Ke7bhsjPKomjb0-8fe8qU_yPYDzgr3AARK9EBcKvb7_qryZAuM64ZcKPnGolL26q2y7xQDoO9_mqLzf3x484R-7vQFAhLw5tO28g5GtPbDxjz0McCY9YCqsPMVOQjwpKrQ7wIkyvL0IiTzBcA289ybhPF2GlD3wtfG8LR1YPZlxyTxHf9w7FHtYvlm3C70lSBu83bQZPj0W0TwDYPq7ywajvYbVbj2m3Ng8ZmUePAkCnrtWFoG7UggJPNQhkT01v5C8KTkMPYNwID132IS8chP3uyy5ijxzMsw8l3kGPbWsdr1-5NI7jnx5vZYQpDvW7SI7SRXgvM_3cDvTctq6nrchPkE8PD26-q07Wgzgu6NYrrxgx6C7JF6eu2L46L1TGGc7Yyp9vKNFzL2HKka8nKIIPPqGiD12ZTy83BHOPfGT9jrK_FM5qTgJPXEA_b2hgG25KfRwPUhcNrxCnKC6jrvHPVp6ODt2JRe8v2unuzrDuTzWNX-86ezJPEwYzT1f6Jq5kaBTvN8mrb0W7Z66Aye7PU2sgrze2wC7zJ9rOyrxSrw6joK7ElDBPcF4Qb1h0wq6KlkpvJtUVL1vHdI7G8MWvJhyGb2860c7FbN0PUBgr72NYn44mMe1PYbubT3s03Q5uh2QvCY-kjxFtjk6eF7PvFlf7rzdghg5iQ-3vbdCuL0xQro4x-aVO5EvvDxFfIo67noGvHzpcr0uhZ056fatvCU79r25vMw41XCGPdbrLD1LpFS5sycgPFAXqT13Faq4kUKJPaLjNLyGlpK4MmTrPNXVGbuZN8u4VYnyPT7pRDyRihQ5I6yMPfRsBr7PcKU5fYDJO2tmbT2aeOE4oiaqPeHfMTz8QnM41k1OPEolHD5Auz054oW-vJEQgLz32uY3tlgAPbp9KjmgYr83KkwpvQ09vT3wz185YOdmPU6THTtoapQ4C71ZPFDJFDwHGTy36zt_vYdLs7yfSUk4mUrfPYBz0DxUuL64qp7HvXqdjr2STdU3NIxxPC8WNr6emQs5IA3nvBUqDj0eLr42XFmeu_aCCr0tIna3-WTlPcjZmj21QNY2RIKOvP6EjjztorW4YEanvReBELuTdNk3bWsQvcV5kz3VICg4IAA4E0AJSG1QASpzEAAaYCj5ADD3MvAB9uTy5uQcI9D5_dL-7Q4A-_IAABQk_AsC2-wN-P8z3yPhtQAAACgGwyDpABph7t7dFQvZ9LKu2h3bf_8LIq_zG9TC2vvlJAjcCwUbWwDU_cUhJhLT_xYFLiAALd5nNTs4E0AJSG9QAiqvBhAMGqAGAACEQgAAIMEAAHxCAAAIwgAAyMEAAIhBAABEQgAAUEEAAMDAAACgwQAAcEEAABDBAAAEwgAA-EEAADBCAAAQwQAAgkIAAKjBAACkQgAAgMEAAILCAAAkwgAAeMIAAExCAAAEwgAAgEAAAATCAACAPwAAQMAAACBCAACOwgAAHEIAAAzCAAAYQgAAnsIAAPhBAACAQQAAqEIAAABBAADgwAAAYEEAAFBBAACIQQAAqMEAADxCAACQwQAAMMEAAABBAAAUQgAATEIAAJjBAACIwQAAAMEAADBBAADAQQAAZMIAAPDBAABQQQAAuEEAAKJCAADgQQAANMIAAEzCAAC2wgAAQMEAAFDCAAAgwgAAosIAAOjBAADIwQAAhEIAAHRCAAAEwgAAwMAAAAAAAABwwgAA2sIAACDCAAAwQQAACEIAAMjBAADQQQAA4MEAABDBAACQQQAAbEIAAIC_AAAAQQAAkEEAALDBAACgwgAAhEIAAMDAAACQwQAAUEIAAITCAAAIwgAACEIAAEhCAACYQgAAYMIAACRCAADIQQAAPMIAAIrCAADAQQAAwMAAAHBBAABAwAAAokIAAFxCAABAwAAAoMEAABhCAACgwAAAgkIAAOBAAAAkwgAAyMEAAKTCAAAUwgAAwMEAAHDBAACYwQAAkEEAADDBAAAgQQAAMMIAACjCAAAMwgAAgEAAAMjBAACwwQAASEIAAEDBAAAUQgAAgL8AAEBAAAAAwAAAssIAAOBBAABAwAAA0EEAACDBAAAQQgAAEEIAAFDBAACgQQAAkEEAAETCAAAUwgAAYMEAAKBBAADYwQAADMIAAETCAAC2wgAAuMEAAILCAAAMQgAA6MEAANBBAACAQAAAgL8AAEDAAAAUQgAAIMEAAAhCAACGQgAAYMIAABDCAABwQQAAWEIAAJDBAADIwQAAUEEAAODAAAAcwgAAJEIAAFBCAACowgAAaMIAACBBAADQQQAAEEIAAGTCAADQwQAAgEAAACTCAADAwAAAcEEAABDCAADgwAAA0MEAABBBAAAwQQAAbMIAAHhCAAAwQQAAyMEgADgTQAlIdVABKo8CEAAagAIAADy-AADIvQAAuL0AANq-AAAEvgAAEz8AAO4-AABVvwAArr4AAPi9AACyvgAAtr4AAFS-AACIPQAAXL4AALi9AAC4PQAADL4AAEC8AABLPwAAcT8AAHS-AADgPAAAiL0AAK6-AACIPQAAnj4AADA9AAD4vQAA4DwAAMY-AACWvgAAcL0AAKg9AACoPQAAgr4AAEQ-AAAkvgAAbL4AAHC9AACmvgAA2L0AAKg9AACCvgAAiL0AACQ-AAB0PgAAhr4AAJi9AAA0vgAAdL4AALq-AAAQvQAABD4AAHS-AACIPQAAfz8AAIa-AAAwvQAAKz8AAPi9AAALPwAARD4AABC9IAA4E0AJSHxQASqPAhABGoACAABAvAAAqj4AAAS-AAAbvwAAhr4AAIi9AAB8PgAALD4AAIC7AAAMPgAAuD0AAGS-AACovQAAXL4AACw-AAAwvQAAED0AAOo-AAAUvgAAsj4AAOA8AADIPQAAoLwAADS-AACAOwAAyL0AAI6-AADIPQAAdL4AALi9AABQPQAA2D0AAOi9AACIvQAA6D0AAES-AAAkPgAAbD4AAGy-AABQPQAABD4AABA9AAB0vgAAmD0AAOA8AABQvQAAf78AANg9AABAPAAAgDsAAPg9AAAMPgAAFL4AAJo-AABcPgAADD4AAKi9AABwvQAAmL0AAEA8AACgvAAABD4AAJI-AACYvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=bjsYdM2oym8","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":3840,"cheight":2160,"cratio":1.77777,"dups":["10067869192250505048"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1428597877"},"1310953805042495953":{"videoId":"1310953805042495953","docid":"34-2-13-ZE0EF84733921D88B","description":"Proving loga-logb=log(a/b). College algebra, properties of logarithms. For more, see https://teaching.martahidegkuti.com/s...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3131887/78a951d306c9684b95d41e7f0568ad5e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/2T85YwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DH0Ngwb8GjF8","linkTemplate":"/video/preview/1310953805042495953?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Logarithms 2 - Part 2 Proving loga-logb=log(a/b)","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=H0Ngwb8GjF8\",\"src\":\"serp\",\"rvb\":\"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-wUA8AULBRAD_QD-C_jy-P7-APsFAQgIBP4A8vj4BvsAAAD_DQAJ-wAAAP4J8AL3_gAABAT4BwMAAAALBgP2AQAAAAL4AQYAAAAA9fgHAgMAAAADAggHAAAAAP0G-fz6_gABBAf-_gAAAAD19Pv_AAAAACAALRIG4Ds4E0AJSE5QAiqEAhAAGvABf-IO_JDt4fzw6AcBOPH4AucrL_4hZPYA2RMDAPfyqgHV-QX_DSy_AN0e7QDB__3_2gey_86tEgA-ohAC-fYOAAoEtwH54d8BURo9_ygmMfyd9e3_xvLu__XvwADkHLf-4OL4-yUw8Pv89cP8Dx0xAEnaNAECGDX81azSAcrL4QIj59D89zz1ARHaLfuozTMCDiYBCSYgMwDtQ9f7Je7w-O3HMP4SGsABEcPrAUfkFv2u-QQB6CMACiNbCPSi1t72ARBA-dHLAAAd3PkNBwbvBho_4AL07uUFLQoX8z7p-___xN0JNQID9OYA9RrYMvfrIAAtnu_aOjgTQAlIYVACKnMQABpgPvAAOAw85Rrj3Nn39wwI3tXz-wHw_wDs6gATJgrvGevu-wHn_1LW8wO0AAAALR3lLzQA7lwmAdZOAwTg4KvkGN1_DxAPxPMP-dTuBvst3ff16_BWAPza7RHvF8YLLwQyIAAt7zg4OzgTQAlIb1ACKq8GEAwaoAYAAOBBAADIQQAA8EEAAEzCAACCQgAADEIAAIZCAADQwQAAuMEAAIhBAACAPwAASMIAAHDCAACwwQAASEIAAEDBAAAAQAAAEMIAAKhBAABswgAA0MEAAJDBAACowQAAqEEAAEDAAABQwQAAOMIAAKrCAABUQgAAMEEAAMjBAAB0QgAAiMIAAABBAAC4wgAA4MAAAAxCAADoQgAA-MEAAERCAAAgQgAAwEAAAPhBAADQwQAAOEIAALTCAAAMwgAADEIAAGRCAACAQQAAEMIAAJBBAAAQQQAAAEAAAABCAADgQQAAAMMAABhCAADgwAAAqEEAABxCAAB0wgAAqMEAANzCAACgQQAArsIAAGzCAACEwgAAIMEAAGDCAAB0QgAAnEIAABjCAADAwAAA6MEAAGTCAABgwQAAwMEAAGBBAACQQQAAAMIAAGBCAADQwQAATEIAAFBBAAAgQQAA6EEAAPhBAABgQgAARMIAAARCAACmQgAAyMEAAKjBAAAAQAAAbMIAAMBAAADQwQAAZEIAAOhBAACWwgAAREIAAEBCAAAIwgAAYEEAAOBAAAAgwgAAMEEAAPjBAAAQQgAAAEIAAJhBAABAwQAAsMEAACjCAAAMQgAAIEEAAPDBAAAUwgAAiMEAAADCAABcwgAAPMIAAADBAADAQQAAcEEAAADAAAAgwQAAoEAAACDBAADwwQAAIMIAACDBAAAwQgAA6MEAAMhBAACoQQAAAMEAABDBAAAowgAA4EAAAIDAAABUQgAAsMEAABxCAAAAQgAAhMIAAAAAAADIQQAAIMIAAEBAAAD4QQAAwEEAAIBBAACgwAAAGMIAANjBAAAswgAAjsIAAOBAAAB4wgAAAMAAAODAAAA8wgAAQMAAAJBBAADwwQAAeEIAAEhCAAAAAAAAIMEAADBBAABgwQAADMIAAEzCAAAAwQAAwEEAAEDBAABMQgAAwMAAABjCAABowgAAQMEAAJBBAACYQgAAcMEAABjCAADgwQAAgD8AAADCAADQwQAAGMIAAGBCAACAQAAAsEEAADxCAAAowgAAMMEAAABAAADgwSAAOBNACUh1UAEqjwIQABqAAgAAqD0AACS-AACgPAAAiL0AAKC8AADmPgAA6D0AACu_AADIvQAABD4AAMg9AABsvgAAHL4AAJY-AAB8vgAAVL4AABQ-AACAOwAA2D0AAPI-AAB_PwAAuL0AAMi9AABwvQAAkr4AADA9AABQPQAALL4AAFA9AAD4PQAAHD4AAMg9AAAcvgAADD4AAIi9AAD4vQAAED0AABC9AACWvgAAUL0AAGy-AAC4vQAAmL0AAKi9AACgPAAADL4AABQ-AACAuwAAEL0AAPi9AAAQPQAA4DwAAGQ-AAD4PQAAfL4AAIC7AAApPwAAqL0AAEA8AAC6PgAAiL0AAAw-AAD4PQAAqD0gADgTQAlIfFABKo8CEAEagAIAAAw-AACIPQAA-L0AACO_AABEvgAAiD0AAKg9AABMPgAAmL0AADw-AAAMPgAAZL4AAHC9AACCvgAAHD4AAOi9AABAvAAAHz8AAIa-AAB0PgAAcL0AABy-AADYPQAABL4AAIg9AACIPQAAVL4AAAQ-AAAQPQAAQLwAAFA9AACYPQAAZL4AAIA7AABUPgAAiL0AAJY-AADqPgAAZL4AAOC8AADCPgAABL4AAES-AACYPQAAqL0AADA9AAB_vwAAqD0AABy-AACoPQAA-L0AAIC7AADoPQAA6D0AAFA9AABwPQAAEL0AALg9AACovQAAEL0AAAw-AAB0PgAAJD4AAKC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=H0Ngwb8GjF8","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["1310953805042495953"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"701497947"},"1746391851037041589":{"videoId":"1746391851037041589","docid":"34-2-1-ZFF32796D357D4906","description":"youtube for jeeadvance logarithm for jee,logarithm properties and proof,logarithms explained rules and properties An initiative of Sachin Sharma - Founder ( Udgam Welfare Foundation - A Non Profit...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4659511/3e9214c693c9b01001fbe85ebcac0a28/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QdbqVwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DjoS9LBSwwyo","linkTemplate":"/video/preview/1746391851037041589?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"logab=loga+logb proof, loga+logb=logab, prove that logab=loga+logb, logarithm tutorial, PART 2","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=joS9LBSwwyo\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA9QkOCQQF_QH9CPj9-P79AP0EAwACBf4A9AAABv4AAAAGAgMD9gAAAPf-_v78_wAA-gX5BgMAAAAH__76_gAAAPgCBQb_AQAA9v4DBAMAAAAF_gMEAAAAAPYE_wD__wAABAgDBAAAAAD39AP9AAAAACAALcSf4zs4E0AJSE5QAiqEAhAAGvABfw35Aevn5QLZBMsAwyoJAIwKKf_9MdQA2RUTANrw2QDjKfj_7-_lAP0OEQDQIRIAPfbM_wTZJwAgw_b_DeH0AM4EBQBG3_ABOy4B__Hz7P7LEjUBEdEHABHd-AAHDO7-BwIN_g0R-P4ABuEDTekTABfuOAAp4w8B97_1A-kS8gX85-D9DPgGAwPX__nsFTgBAt31Ag7_FP3mBPIBBdHqBuvkCfUILNf-C_X7DOULCvrECO0A9fL0BgkZEATtAfv_8_ckAtP67fX4EwwAKusHBfYD_AMZ6ez7Ee3yAQHwBAfzuQAB5w8DB94B_gjcDPL_IAAt9YoaOzgTQAlIYVACKnMQABpgNvUAK-02_QDb4eL68BMg2MTi1RLj-f8I5__-LfsB9gDO0f4J_0PSBw6uAAAAPCXdHQcABW4C6sAy5-3ewpvfEfp_5gomqBwSzr_oAxU57ujr__9zAPrkwyMBH9IqHQMsIAAtyJMlOzgTQAlIb1ACKq8GEAwaoAYAAJhBAABQQQAAoMAAAOjBAACwQQAAgMAAAHxCAACIQgAAUMEAABjCAADYQQAA0MEAAHzCAABwQQAAVEIAAODAAADgwAAAqMEAANDBAAAIwgAAkEEAAHTCAACQwgAALEIAAIBBAAAAwQAAWMIAAJjCAADoQQAAgEEAAEBAAACIQQAAoMIAAIA_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-EEAAIC_AABwwQAA8MEAAGDBAACqwgAAtsIAAERCAAAUwgAAgD8AAIhBAACYwQAAoMAAACBBAAAYQgAAkkIAAKDBAADIQQAASMIAAKRCAACIwgAAFEIAAEDAAAAgwQAASMIAAIC_AACIQgAAMEEAAJjBAACAwgAAYMEAAAAAAACQQgAA2MEAAKDBAADoQQAAwMAAAEDBAAC4wQAAQMEAADRCAAC4QQAAmEIAAExCAAAowgAA6MEAAHjCAABUwiAAOBNACUh1UAEqjwIQABqAAgAAML0AABS-AAA8PgAAiL0AAKi9AADePgAALD4AAB-_AABAPAAA6L0AABQ-AACavgAAuL0AAGw-AACIvQAAqL0AAIg9AACIvQAAmD0AAPo-AAB_PwAAmL0AAKi9AACIvQAAdL4AAJi9AAAwvQAA2L0AAHC9AAAcPgAARD4AAAy-AADYvQAAVD4AAIC7AAAwvQAABD4AAAy-AADuvgAAEL0AABy-AAAQvQAAuL0AAKC8AABAvAAAmD0AALI-AADIvQAAHL4AAMa-AACevgAAQLwAAII-AAC4PQAA1r4AAIg9AAAvPwAAyL0AAIg9AAAHPwAAuL0AAGQ-AABAvAAAyD0gADgTQAlIfFABKo8CEAEagAIAADC9AAA8PgAABL4AABG_AAA0vgAAcD0AAGQ-AACIPQAAyL0AACQ-AACAuwAADL4AAKC8AACWvgAAXD4AADC9AAAQvQAAHT8AAKA8AACqPgAAuD0AADC9AACIPQAAEL0AAFC9AABQPQAARL4AAEw-AACWvgAAJL4AAKg9AABAPAAADD4AAKg9AAA0PgAALL4AAIo-AACiPgAAZL4AABA9AACqPgAAgDsAAOC8AABAvAAAuD0AAKi9AAB_vwAAuL0AABC9AACYPQAAFD4AAIg9AACIPQAADD4AAPg9AADIPQAAyL0AAOA8AACAOwAAED0AAOg9AADGPgAAgLsAAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=joS9LBSwwyo","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["1746391851037041589"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"696080943"},"2285595501893459894":{"videoId":"2285595501893459894","docid":"34-2-2-ZE71C68CDC2CF3CAB","description":"Log | Log basic to advance | Logarithm | Logarithm formula | log for beginners Part - 02 - Log advance Class - • Log | Log advance Class | Logarithm | Loga... You can order complete Course...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2466996/42416effdd2ee0498c8757a6e7a12070/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/GwEmZAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYy5oCPkksJo","linkTemplate":"/video/preview/2285595501893459894?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Log | Log basic to advance | Logarithm | Logarithm formula | log for beginners","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Yy5oCPkksJo\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA5AkD_gP-Af8KC_b49gAAAPwF-v0GBP4A_fkN__gAAAD-BAgJ-gAAAAMA9AD9_gEABgP9AQQAAAAKCAr-AwAAAAf5_An_AQAA__YECAT_AAAABQf-_wAAAPYE_wD__wAAAwD6_wAAAAAA-vz5AAAAACAALcSf4zs4E0AJSE5QAiqEAhAAGvABfw3eANbdzwDaBMwA-xT8AbIMGv8mJ_UAxfseAL33ywDjDQIA2OfkAfUQ8AH_HTwBO_bO_w_J9_8l7BH_4vPzANsQFAFw8vIAUikEAAT38QChBh79BOr0APfd1f8ICtT-_ukU_yYF2_4c2tcBI_kC_y0AJQEgDQT_xef0AMMy7Qb86OH97QP-A_3YFgDD6hAAGhIIAv8ZE__8A-MC-djz_-38JgEKAPv5CPrwAM0H9vzL6P4FFu_sBwQHKf_87eH93v8L9ADw_gMnCxAJ6QMN9vUZAgvo-vIN-_UK_f_rB_Qi9-v64fn9-QQM_gjq_u0EIAAt5IofOzgTQAlIYVACKnMQABpgS_EAEyMrAPXW4fQR7Q732NXzxvSx9P_50P_wJQnjKv7a0OAVADjVCRagAAAAXg3YDgwAAXrtzfYDze_jwoPcOud_BxUxwgom54Tk2Ckx_uLfBRdlAMLtrhgEAsozBRIgIAAtM1oVOzgTQAlIb1ACKq8GEAwaoAYAAMhBAABEwgAA1EIAAPDBAAAgwQAA4MAAAKDBAABMwgAA4MAAANjBAACgwQAAgEIAAL7CAACIwQAAmEEAAOBAAACAQAAAKMIAAFBBAAC4wQAA4MEAAKDAAAAQwgAABEIAAOBBAAB0wgAAPMIAAHDBAADgQQAAlEIAANjBAAC4QQAAAEEAAFBBAADoQQAACMIAAMBAAACEQgAAsEEAAMDBAACoQQAAMEEAAAhCAABAwgAADEIAAAAAAAAwQgAAAMEAAIC_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-AAAQvQAAyL0AAMg9AADSPgAARD4AAEu_AAA8vgAA2D0AANi9AACGvgAAZL4AAAw-AACKvgAAQLwAAMg9AACYvQAAUL0AAJo-AAB_PwAAmL0AAHC9AADIvQAAJL4AAIi9AAD4PQAAdL4AADC9AACAOwAAhj4AAIA7AAAkvgAAqL0AADA9AABMvgAAVD4AAIA7AADCvgAAQDwAAMi9AACovQAAMD0AAEA8AACYPQAAbD4AAFQ-AACIvQAAMD0AAHS-AACYvQAAZL4AAPg9AACAuwAAqr4AAKA8AAAnPwAANL4AAMi9AADqPgAAoLwAAI4-AABwPQAAiL0gADgTQAlIfFABKo8CEAEagAIAAEC8AAA0PgAA2L0AAPK-AACgvAAABD4AAMg9AAB8PgAABL4AAOg9AABAvAAANL4AAOC8AAAkvgAAND4AADC9AADgPAAAFz8AADy-AACaPgAAED0AAIg9AADgPAAAuL0AABA9AABAvAAANL4AAMg9AAC4vQAAQDwAAOA8AADIPQAARL4AAIA7AAAQPQAAVL4AAHQ-AABcPgAAdL4AAJi9AACYPQAAcL0AAHC9AABwPQAAmD0AAEA8AAB_vwAAMD0AAIA7AACIPQAAoDwAAKg9AAD4vQAAND4AADw-AACoPQAAEL0AALi9AACIPQAAbD4AAHA9AAAEPgAAHD4AABS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Yy5oCPkksJo","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2285595501893459894"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"717383305"},"2492152342009669012":{"videoId":"2492152342009669012","docid":"34-0-4-ZC6A70B08C9EDAC0E","description":"video, sharing, camera phone, video phone, free, upload...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2933270/1443821358a40a191ccd3334c2d04c64/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/t2GWSgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9npNGOk1a9A","linkTemplate":"/video/preview/2492152342009669012?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"loga(b) = 1/logb(a) Proved | #logarithm #log #proved #mathematics","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9npNGOk1a9A\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TI4IEJAGABCsqiwEQARp4gfv_Af_7BgDwBQsFEAP9AAoL9vj2AAAAAf_-_gIE_gD08gcJAAAAAAUE_gn_AAAAAPvyDPn-AAAEBPgHAwAAAAoEAAAFAAAACwQCCAoAAQD_9gQIBP8AAAwBCgUAAAAA_Qb4-gIAAAAJBAgBAAAAAAD__v8AAAAAIAAtxJ_jOzgTQAlITlACKoQCEAAa8AF_-gQD1t3PAPX06ACsON__gyEK_v0w1gDYBfgB3PLGAfb9-QDM-fH_A_3eAL8XBwAGDuL-Nd0HAUH1-f8d0QIADff0ABHLAwA0JRcAAeMKAAUgBv_i8g7_9uTnAu0Tzv_x8xr93gEA_P351v0O_joBDAcpAxX1HwL_4Qn76BMPAvT77__oEN0AIfcLA9sEIAIX9Qf_KhIHAuke6gIN9QkG9AoZBBoK8fojCwcN__MD_cf7AwEJ6BT1J-oD-PcPIQMBCyz7yf8B9ublCfgmCfIH5gkBAPnT9A751wQH7tD0Av8H9_ADL-__5gwZ_vkK9_MgAC2uoB87OBNACUhhUAIqzwcQABrAB_VKyb7ok0u8X_v4PAMVRL0AiUs9VKcou-Cg_b0uDKY7BZEevLjSRrz0VY28qA7DvPjBgb5_6Pi8RGlPPT7L0z0dOGe9gog5PXoXL74IPDA9KZ_UvMuDVL6aVam8EZqTPECKOj0sE1k8LngMvRtGpr0xfrc7OVyOuyCo6LoddRE8M9wAvfBVBj3NhHW95jXAvCnopj09L4C9_z8uPQExKT6a9269D5D5PKGUej1kaKu8waq6vH3PqL322gc89EAYvITY2T3U9Z88d503Oret0rx2jOu8lF5lPMFlXzwt0447d5TUPHG1uT36Jzi8T-oLveV6wD0pFeA7wwnxvCY19L1-Ay49q7oCPeyG7T2M94M9cluROxSbCr1dNU89-CVRPNSeMr2wZUM8etcLPLjuA7vywmc9rCswu5_1vrsSQQY9T8k5PC0OH7xVVi49EEIbPUuiqD2WjbO8JV6aO6Cbhz0I-H88a76Iu6gUsL0mYya9SXsLvLHzm7zIJGM9VIeiu7_Dgz00KpU8Cw-puQUjpT3WAju-SeWaOvnj7rtbYfq9hQK-O9Qq-j0rG7G8_3dXunSJmTzobIy9NQ5QvMd5Sbx1Z5o6zRsru9-uETxMqeu9vd3UO1ACpr16H0I9BMFKuzCTUj3quUC9n-yDu_7Zuj0rEgM-y7FbuXzAl7xav1S9L-PgO3tsJjwR1rG7uWlYu1t5ST0yLmY8yVo_u1T6nj2a6Di9eFpPOI1BCjxAdSC8RGgpO0GaEb1ZNWO9M0gHue6vDj6fEpG9ftCUObepSz0tWgU9ueJiOZG6eL0onB09xwEJuKxSCj5J23g8o4p0ub7F4DusUxW-pozJOXwZ-7wYCW09GVmNNzaZbL0S81E9z0duOadHybybE8W9AwKzOPy3_TpLL3-7aglZt7hAAj4SNAG9tD8FOcgXvj3k6tG8lr0DOOaJwT2WeyE9iIRTuQArdjwIsEM9l5NPOFqvgz0Bj8O9ptFaOf196zwtM5U7cRBcOIgP7Dwc0_c5XPOfNykJCb29Tg-9_B27OM2ZKD38HF-9XYCvNrNAu7wAQCk9k7Y1OMrhA74Q1x48l_1ON03aVL2G95a9N4MBt1IJkbrXrj-9Jkbbt7CvtTyz5py96qksNqXTvz3vrH29oCwOuaNA_73GXjm87Vg2uHkzFL1qLJa9SOgwt5dRkb2Hch09UziLtjLurD1cJr697GpDNyEytjw7OeM9BBsGOXF8Y736JQI-qYEsubQB-L21WEU9UeBcOIvMl71Gk5C9sAAquCAAOBNACUhtUAEqcxAAGmAQ_wA3-kMSEuzq78_W5De_8NvuKL3a_-zZAPwv6vPlCN7u4A__W_oT8KMAAABPMuMcOQDge-rs50D9Fvyvu74p-X8aGg6oPf733OAW2PG1-eH5Iz4AEcC23RYMtEYqETQgAC3Rnhc7OBNACUhvUAIqrwYQDBqgBgAAkEEAAJjBAACEQgAAuMIAAABAAAAwQQAAmkIAAMBBAACEwgAAYMEAALDBAAAcwgAAXMIAAETCAADgQQAAuEEAAIhBAABwwQAAoMAAADDBAAAgQgAA6MEAAKDAAABgQQAAksIAAEDAAAAAwgAAYEEAAARCAACgQAAA-MEAAEBAAAAYwgAAnkIAAKjCAAB8wgAACEIAAIZCAACQQQAA2MEAAIhBAAAAAAAAkEIAACBBAAAEQgAABMIAAIRCAABgQQAAuEEAAOBBAAAUwgAA2MEAAHDBAAAUQgAA-EEAAFBBAADgwgAAmMEAAARCAABUQgAAsEEAAL7CAACgwAAASMIAAJjBAACswgAAVEIAADjCAAA0wgAAuMEAAIRCAAAMQgAADMIAAKpCAAAwQQAADMIAABzCAAAwwQAAgEEAALhBAADIwQAAOEIAAIBAAAAMwgAAiMEAAAhCAACAvwAA0EEAAARCAAAcQgAAYMEAAHRCAAB8wgAANMIAAAxCAAC4wQAAAMEAAEDAAACgQAAADEIAABjCAADIQQAAGEIAAIDBAADgwQAAiEEAAIjBAADAQQAAVMIAAJBBAABwQgAAgsIAAIjBAADwQQAAmMEAAABCAABwQQAATMIAAJhBAABQwQAAAAAAAEzCAABwQQAAwMEAABDCAABwwQAAJMIAAIA_AACIwQAA4EAAAIBAAADIwQAAaMIAAFRCAAAIQgAACEIAANDBAAAEQgAAgL8AAIDCAAAAQQAAZEIAADRCAABkwgAAVEIAAGhCAABIwgAAcEEAABDCAACAQQAAAMAAAOBBAACwQQAAgsIAAOhBAABAwAAAJMIAAMDBAAAgwgAAYEEAACzCAADQQQAAAMAAAPBBAADowQAAQEEAAGDBAADEQgAALEIAADBBAADwwQAAwEAAAOhBAABIwgAAisIAADBBAABAwAAA2MEAAEDCAADQQgAAksIAABTCAABkwgAA8MEAAIBBAACIQQAAgsIAAABCAADwwQAACEIAAJZCAADYwQAAMEEAAKDAAAAMwgAAlkIAAFBBAAAcQgAAEMIAADjCIAA4E0AJSHVQASqPAhAAGoACAAAUPgAAFL4AAAQ-AAC4vQAAmL0AALY-AAD4vQAARb8AAKi9AAAkPgAADD4AAKK-AAAcvgAAPD4AAPa-AACovQAA4DwAAEA8AABwPQAAzj4AAH8_AABwvQAA6L0AAFA9AABMvgAARL4AABw-AACovQAAML0AAOg9AAAMPgAAEL0AACy-AAD4PQAAgLsAAJi9AAD4PQAAXL4AAKa-AAAEvgAAgr4AAHS-AACIPQAAyL0AAFS-AACIvQAAcD0AAIA7AAAMvgAAVL4AAOg9AACgPAAAqD0AACw-AADuvgAA2L0AAEM_AADoPQAAyL0AAGw-AAAwvQAADD4AANg9AACYvSAAOBNACUh8UAEqjwIQARqAAgAADL4AAOC8AAC4vQAAE78AABC9AADoPQAAFD4AAKg9AAAEvgAABD4AAKC8AABEvgAAQDwAACy-AAAsPgAAmL0AAIg9AAAdPwAAcL0AAKY-AADgvAAAgLsAADA9AAD4vQAAmD0AABA9AAAwPQAAoDwAAEC8AABQPQAAMD0AAFA9AABQvQAA4LwAABQ-AAAEvgAAyD0AAKo-AABMvgAAmD0AAHw-AABwvQAADD4AAOA8AAAMvgAAML0AAH-_AAAwvQAAFL4AABw-AACIPQAAqL0AAEQ-AABAPAAAPD4AAIC7AABAPAAAmD0AAOi9AACAuwAA6D0AADw-AADgPAAAgLsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=9npNGOk1a9A","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["2492152342009669012"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2731545317"},"14567772155685508455":{"videoId":"14567772155685508455","docid":"34-8-15-Z975B6642B0247331","description":"Evaluate the Logarithm without a Calculator: Example with Log base 2 of 4 If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/932516/92ebebaca23bec9bd743c4593c517fb3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VEx2tAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrQ8XW6hKRvU","linkTemplate":"/video/preview/14567772155685508455?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Evaluate the Logarithm without a Calculator: Example with Log base 2 of 4","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rQ8XW6hKRvU\",\"src\":\"serp\",\"rvb\":\"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-_YO_v8BAOkJBAMLAf8AFAr8_PUCAgDxAfcCBwH_APv9Bu79AAAA_gYECgQAAAAA-_EN-P4AAAYE_QEEAAAAHwAJ__oAAAAO-_ML_wEAAPcBC_4DAAAA-voJ-v8AAAD6DPgD_QAAAP0NAPkAAAAAC_z67QAAAAAgAC0q59Q7OBNACUhOUAIqhAIQABrwAX8ECQGxBNT9NP3hAMv97gGqLgP_GiLkANw7Ev_74-YBDfDYANX7zv_f7ev_7PgwACH27_8o3B4AJdsMABvp8AAE8-oB_dYGAiEMCwDy9O3-Eg4r__3-AQAD7d8A_QPoAAAg_v7v8AL_7N3bAPvuKQAG5gUBD9gOBQ7j6wHkHAACBMzs-_gI2AD92e_87hM0AQ8BA_wXHAUD90D9ACLj-vkHBh34EwrmAybxBAYS7g_65vcC-f3jD_0P5vsG4xYhAQELKvvuD_H2_Qzt-Brv4gvwAQT37tnkBwD9ABIO0Prz_wb38QENAPnSDxD7_RYICCAALc0dJzs4E0AJSGFQAirPBxAAGsAHEoPgvk_96Lz8Ilw9tGREPJdKmT3TjtE8LqmfvQMLu7xT8G-8sYNvvMV-tb38X6Q8hA9VvkpDDT0u6WM9Jv_zPfEFt72gZSc8sHYUvqlpV73XL1i9XiXEvE6jP72_Q1W7327JPDdGPD2Zkja92hoBvgUV2bujPgk9EfFgvSMFAL0dM5Y72fWRPbzTGbwJdrK8C6cWvVVXtDyYCju8dOs1PnAcQryxVPI8L-u0PAkAKb3bXRa9aW4FviPUET0HyGG8L012PcaViT3C60Q8nIS5O347ybzqq1C8r7AgPag3gz2fI808cbW5PfonOLxP6gu9uJAXPsghRz3hB8y8yqk9vtsWtT20TPu4eocgPTnsgz1CRZi54KA9vfWR5Ty4b5o8a7nzPDANSD3jNQ48MJCWvFiuNz0Z5gA7KylhvcZ7Hz3QHY48MS1FvSRgtjv0sIY89LduPXpYk70qdxs8lz0kPUEr8jtPwpa7qBSwvSZjJr1Jewu8Gt-nPTHAVD1PIMu61OICPVuNtryYkAe8BSOlPdYCO75J5Zo6D93iPHV0HL4YYvq59bkaPis0ED1LKaK78PlhPRRfDb53hBG7-WhxPbokGDw6VxQ7F5kjvGcsdb2LuEo8tkowPI9BH7zLiMm7X6IwvJAtkL2QE6a7MGbLPCqnDT5ukyi6kaBTvN8mrb0W7Z66nHKAPWo8RzxtOgK8zQrgPAGWprshntu7SgbjusigSb0mI0I7ysg0O8Rtn7tobFi7eVq-vBdP2Ly5mkg6wxEEPuaYRz0iPdA3B_VjO4IWljremg07mzrPvbjuQTwtJwq5OlqVPIedLj0Yx2E4rS-3Ov0S8b28I4k5ePf2vFjypzx765k4KH7svRFzRD3sNrc5FByDvcckrb0aURU4j0R-PYi-G70Q5Zm5QOPdPLWem70Wr7i2Q5OPPUXMFj0jctI3Ojv5PdmMGbyNFoG5HYi0uwwOZT0SZwc4Wq-DPQGPw72m0Vo5_X3rPC0zlTtxEFw4S-7LPDaWm72NkA-3hePevAxGW72Nrfg2UkjPuz48q71PsuQ4hLjSvdAfrz1fWGo5lRKdvIZhNj2Dedk4x7hHPaMkj70T-7g4lGEmPeZBVTx5kpY2xUy8PbUGZb3B2qi4d5_ju9NVsLxOgAe3If9xvI82jr3KEa64eTMUvWoslr1I6DC3m0tbvZI8pz1tcIE4hhAhPVx3073e85u3Iv_sPTUpBT7zflu4YSCDvb4-qTzVVJG46FWzvRYk7DzNuCE4XI5XvaIJ1L3fwiG3IAA4E0AJSG1QASpzEAAaYDEKAEg0L_DU7x7K9ewYEOPV9-rr3gD_9_oA8gMXCAQf0MrhD_9RyAzorwAAAC7e3hUgABhu_fK9Dgfs4Ly-nicGfxoaMckOL-u-0gsMCeT67ucJWADY1cEtDPLyKfIyDyAALRJiJjs4E0AJSG9QAiqvBhAMGqAGAAAgwQAAQMIAAKhCAADQwQAAFEIAAHDBAABwQgAAVMIAAEDCAABQwQAAuMEAAABAAAC4QQAAEMEAAGDCAAAMQgAAEEEAAKjBAACaQgAAKMIAAOBAAABQQgAAMEEAACRCAAAAwgAAQEAAAHzCAADowQAAGEIAAODBAACywgAAYEEAAIjBAABAwgAAQMEAAOBBAAAAAAAAkEEAAKBAAACAwQAACMIAAEDAAAAQQgAAyMEAAGBBAABAwgAAfEIAABTCAABUQgAAqMEAAIDAAABAwgAAMEEAAJjBAAAUQgAA2EEAAHDBAACAvwAAgEEAAIBCAAAgwQAAisIAAIC_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-AAC4PQAAqj4AAKI-AAB_vwAAtr4AAEC8AABsvgAA7r4AAOi9AAB8PgAAJL4AAFC9AAB0PgAAcL0AACy-AAADPwAAQz8AAGy-AACCPgAAZD4AAJg9AACyPgAAED0AAKA8AAC4vQAAUL0AAJI-AACCvgAABD4AACQ-AACgPAAA4DwAADw-AADuvgAAvr4AAJ6-AAAkvgAAPD4AAAy-AACYvQAAjr4AAAw-AACGPgAAhr4AADy-AACKvgAAMD0AAOq-AABAvAAAsj4AAM6-AACgPAAANT8AAIC7AACevgAAFz8AAL6-AACqPgAAbD4AAFw-IAA4E0AJSHxQASqPAhABGoACAACSvgAAcD0AALi9AABBvwAAyL0AAJi9AABwvQAATD4AAOi9AACoPQAAoDwAAFC9AACovQAA6L0AAOg9AACIvQAAgLsAAAk_AABAvAAApj4AAPi9AAAcPgAA4LwAACS-AACgvAAA-L0AABA9AADYPQAA4LwAABC9AACIPQAA-D0AAKi9AABAPAAAPD4AAHS-AACmPgAAwj4AALa-AACAuwAAoLwAACy-AACKvgAADD4AABC9AAD4vQAAf78AADw-AABAvAAATD4AAOg9AADIvQAADL4AAJ4-AAAUPgAAuD0AAOA8AAD4PQAALD4AAEC8AADYPQAAcD0AADQ-AACIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=rQ8XW6hKRvU","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["14567772155685508455"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"89460280"},"5456265248478716271":{"videoId":"5456265248478716271","docid":"34-3-9-Z0184351604399A9D","description":"log(a/b)=loga-logb. ln(a/b)=lna-lnb. of logarithms calculus, logarithm rules explained, logarithm rules proof, properties of logarithms class 11, log(a+b) formula, y log x=(x-y), if log(x+y/3)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3570198/14af5fb2e791d68f16c61adf81e1164b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7CzslAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"11","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DtivJazsNP2c","linkTemplate":"/video/preview/5456265248478716271?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"log(a/b)=loga-logb || ln(a/b)=lna-lnb Proof of Logarithm Rule","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=tivJazsNP2c\",\"src\":\"serp\",\"rvb\":\"EqoDChMyMDU5NDQ2NjUwMzYxNzc3MjQ5ChI5NjIyNzMwNzEzNTAxODUyNTkKFDEwOTc2OTk2NDUyODA0OTk2MDg4ChQxMDA2Nzg2OTE5MjI1MDUwNTA0OAoTMTMxMDk1MzgwNTA0MjQ5NTk1MwoTMTc0NjM5MTg1MTAzNzA0MTU4OQoTMjI4NTU5NTUwMTg5MzQ1OTg5NAoTMjQ5MjE1MjM0MjAwOTY2OTAxMgoUMTQ1Njc3NzIxNTU2ODU1MDg0NTUKEzU0NTYyNjUyNDg0Nzg3MTYyNzEKEzQ0OTIxMDQ1NDMxODA1MDU5MTgKEzY4MDUyNDIyNDIzMjgxOTQyNTUKEzUxNTcxODAzOTI4NTc3MjMxMTkKFDExMzMxMDIyMzg0MDgwMjM2OTQ4ChM4ODQwMjMyNDU3OTI3Mjk0NDE4ChQxMDAyMzI3Mjk4MjI4MjcxODgwNAoTOTIyNjM5MzQzMTc2NTgxMDU5MgoTNzA1MzI3MTAzNDE1ODk2MDcyMgoUMTc2ODExMzgwMzA4Nzg1NzQ2ODcKFDE3OTUzNzM4OTE2Mjg2MzQ1Mzk3GhUKEzU0NTYyNjUyNDg0Nzg3MTYyNzFaEzU0NTYyNjUyNDg0Nzg3MTYyNzFqtQ8SATAYACJEGjEACipoaGloanllZHJjc2JmYnNkaGhVQ1N4R3FrdENhNUZPUU5JM3EzX2RIS2cSAgASKg_CDw8aDz8TVoIEJAGABCsqiwEQARp4gfwCCfv9BADwBQsFEAP9AAYC8_X3__8A-wUBCAgE_gDr-QUF_P8AAP0FCAn5AAAA_gnvAvf-AAABCv8FBAAAAAoIC_4DAAAABQH7Ef8BAAD5-f4GA_8AAP_7A_8AAAAA-frvAwAAAAELCPn8AQAAAPfv8PwAAAAAIAAttHTcOzgTQAlITlACKoQCEAAa8AF_8xj-6f7zAdEE9AGuJSMAritC_yYx1wC9FQT_yBKnAQT8CAAC-8r_MhcFAMATMgAV1MAABLgb_zTl7P8h1QAB8OICACX59QBXAx3_7O_l_tETJP4G4vD_8NCe_yIi1P8KAhL9_hDmASUcvAINyFAD9gExBzf78_8DigEJuPb2CebTzv0vFO8GHtL2_9jyPQkPwBf9GxgL-KgU3QEHzfoM7vAk99Ej5P0P8foQAQEP9sPZ4PveAwfzIOsaAcYLEwsl1icC7e_9-w7ICgZB8QDxt_zV_Afq1wQb-ggT_e_k-gXW9vex5vb1q_4KFLj36AMgAC0dBuc6OBNACUhhUAIqcxAAGmA8-gA5AEb0B-oK7vjTDwzW6-7dDMYH___a_w4gFAzm9MvcEeb_VdsXBKIAAAA6DdghBgADdvH70VQJ1dnQgfQREHb2_yOdAyXrs-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-EEAAHBBAACewgAAgD8AAIJCAADwwQAAJMIAAOBBAAAcwgAANMIAAFBCAAAIQgAAoMEAAGzCAAAAQQAA6EEAANDBAAAMQgAAJEIAADDCAADAQAAA0EEAADjCAABAQQAAgEEAAIhBAADwwQAAEEEAALBBAAAAQgAAgL8AAAhCAAAAwgAAMMIAALjBAAAAAAAAeMIAAEhCAAAAAAAAQEAAAIA_AACwwQAAjsIAAMjBAAAoQgAAdMIAAJhBAAAgQgAAIEEAANBBAAC6wgAAAMEAAKbCAACgwAAAgL8AAFBBAADIQQAA0EEAAKBBAAAgwgAAREIAADRCAAAQwQAAAMEAAMjBAAAgQQAAMMEAAEBBAACGQgAAdEIAANDBAADwwQAAIMEAAJjCAADowQAAxMIAAPjBAABwwgAAVEIAAADAAACWQgAA0EEAAGDBAACgQQAAHMIAAGBBAAA8wgAAgMAAAOBBAAB4wgAAJMIAALBBAADGQgAAgMEAAEDBAADAQAAAgMEAANpCAACAQQAAZMIAANRCAAAowgAAoMAAAHTCAAA4wgAAuEEAAKhBAABQwgAAtkIAAIDBAAAEwgAAAMAAAAAAIAA4E0AJSHVQASqPAhAAGoACAACgPAAAJL4AAEA8AADovQAAEL0AAK4-AACYPQAAK78AAIC7AADgvAAAMD0AAK6-AABkvgAAkj4AAFy-AABAvAAAQLwAAFC9AAAQvQAAfD4AAH8_AAD4vQAAQLwAAES-AAC2vgAAcL0AAFC9AACgvAAAQLwAAOA8AAB8PgAAUL0AABS-AAAQPQAALL4AAGy-AACoPQAAmL0AAM6-AADgPAAAgLsAAGS-AACYPQAAoDwAAOC8AABAPAAAZD4AAGS-AABwvQAALL4AAOC8AABAPAAAHD4AALi9AACivgAAUD0AAA0_AADgvAAAqL0AAPI-AABQvQAATD4AALg9AAD4vSAAOBNACUh8UAEqjwIQARqAAgAAEL0AAPg9AAB0vgAAJb8AAM6-AAAEPgAApj4AAFw-AABwvQAAXD4AAOA8AACSvgAAEL0AABS-AADoPQAAcL0AAKA8AAABPwAATL4AAJo-AAA0PgAAQDwAAOA8AACgPAAAQLwAACQ-AACSvgAALD4AAFy-AAAMvgAAMD0AAJg9AACYvQAAuL0AAJg9AAA0vgAA4j4AALY-AAA0vgAAyL0AAII-AAAQPQAAML0AAOC8AAB8PgAAcL0AAH-_AADIPQAABL4AAFA9AABwPQAAVD4AACw-AACqPgAAoLwAAAw-AADYvQAA6D0AAKg9AABAvAAAlj4AAJI-AAAMPgAAgLsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=tivJazsNP2c","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":718,"cratio":1.78272,"dups":["5456265248478716271"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"4168460055"},"4492104543180505918":{"videoId":"4492104543180505918","docid":"34-2-10-Z2608C36CF8631C82","description":"solving exponential equations using logarithms...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2101258/2ee34725b0f1f5e806765453e262532b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/x4EC6QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrvqEcQx4f_k","linkTemplate":"/video/preview/4492104543180505918?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Logarithmic Equations Solving - log[log(2+log(base 2)(x+1))] = 0","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rvqEcQx4f_k\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TX4IEJAGABCsqiwEQARp4gfQDAv7_AQDlEgn9C_4A_xMCBPn2AQEA8vr9_AcB_wAB8AT_-gAAAPoL-wMCAAAA_gnvAvf-AAAQAff8BAAAAA0IBwP8AAAACPL6A_8BAAD5-P0GBP8AAP79CgH_AAAA-Q78-_8AAAD9D_QCAAAAAP4D_QD79P4AIAAt2DLUOzgTQAlITlACKoQCEAAa8AF_Gwr_1AfxAdQE9QCw-7QAnA8h_wsl4f-1-icA5uLTAfP89wHpBOv_1gkN_9wTEAAiAbgAJcAJASi09P4B49D_6A36AfvIBwM86SgA7hbg_v_9Sf7n2f3-9vHIAPIExAH_DSD87ejM_ukEtgL-BjUA9wEtBxvyKAP1sPIE1dz_BA3N9fv9Ktn_LOT7-9vzOQkl7uMEAAgM-e873Pwr7gL-8M4q_xAWyAA07AYITR0VAbUK6QDkzxb8Gicq_q0-B_wV9iML8NsC7O_RAAMhyO8F8gDmAxT-7wIdFAsRIwP58v8J9Oy_Gu_yy9saBeT95wUgAC3uWvk6OBNACUhhUAIqzwcQABrAB2Zrxb5-c3-8I036uzBI-r15FUM9YWZpPOCg_b0uDKY7BZEevCCWwj0Koxm9EAaevJaTQL6izKs86NJkPKZCPD5lYTm9PHxDPXE9Wr7nFr89hUyovLMj1b2Dlwo99R3yvF7FGjxsbpY8_CzgvCMSlT38vRk98dSGOyGVoryGRJC8Tt62vEPn9b1_th-9WiIBvc6HDD0lMj28zJ3TO-GXCj5xqJS9uqtsu0LBVj3XhBm91VHhu7-1g715ioE8WmkMu1pHNT2Dxqe7yIPjPEQgvb20YD29W9VHOSUXrb3bXsG8CyHOOp2ifjyXQXk66aduvHkqhj1FBym9CpAXvajIIb4CfBw96OltPOyG7T2M94M9cluRO8KymL2V6fw8aDC8PJzZUzzQsei8x1WSOR88ZD0-40c90AHRO6gTdbyuega7YKnTPMOjaL3-Tgk9a5T_PN_LFDwvO6-9GIgvvCpxfT2nvj281X5GvFWPur2-OTc8F5klvG2OMz1V-j06pIvNuwgbkz3Qkq47Ic_JPHAK6zxF77m99kfluVd7OL0vh_29KqBmOh1twT05aRA9LgV_vEgYBj5uyWW97dUFvI5PUr1JII-9s3XTOwPBLT3svHK9l7hBuFQlPTrwVcY8KRPputi_xrzE3lU8f_ExvEWAkzxPMC09be2zO6c95bzrjA--Jd69t9pVCD583jA6VJ0Cu7qenT3Te9M7eTWKOlGX1jzl0W29oBpMuy7Og71hCC-9qKjKuTGXhL2oiSO948SmONFIyj0L6oC8ju3guEqhZz3pB5o88xonOQh_Fb1bRK89mIH4OALvKT3NGba8nSUVOD-ngD0q5iC-3rY8Oe4tm7wjSKm7kcD2Oj636bptDRu8MOVKORQcg73HJK29GlEVOJI-rTxxG828sb9mOLDzsD0T3307Eyyft6JpAbwipBO9Ca1iud3P6bx35H68vza1uOq6JjyNixk8Y9QMOEUO0T0pI-694iy_OQOwprwQcdo7oNa7Nv6SHjzNhLA8t9GVtb87Q7yIE6M9ssdTuMc3aj0gX4K9dvnKNi33uDwPiow9qb2KuKBQz70V74Y9wtICOFKpJ7vXHWY8Hs8XOERAtDxqSvQ7zWImuAIB4TxEMw-9OQafuMKk2D02Kia9e7QtuaAzaTy7Tqm9H1CbuMMm_bezQ4y9TYoONwX65L3tBnY9KnvPOD-Oxj0r3gi-hyK0uMr0cD0i4Ss-8cuKOL7VHz0QEII8VoXTuCNozL0NAfo7bwYGN9EQlL3oGEu9RmgGuCAAOBNACUhtUAEqcxAAGmAs_gAzHCXFK_gS2tgAJzPd6u7gwNTr__rfAAInJcsHGM3S9OsAf90PF6YAAAAwBtEZ2gAccd77_Vsp7fKwu8lB63cQAhuiAy3vu-kq8CT6EhbR9FoA2djJBQ4Ktj_64jUgAC34Dxc7OBNACUhvUAIqrwYQDBqgBgAAdEIAANjBAADgQQAAOMIAAI5CAADoQQAAQEIAAMDAAAAgwgAAyEEAAKBBAAAEwgAAsMIAAODBAAAoQgAAcMEAAHBBAAA8wgAA8EEAACDCAABgwQAAQMAAAHDBAADYQQAAQMEAADxCAAAswgAAdMIAAIBBAACYQQAAmMEAAIpCAADQwQAADMIAAIzCAACgQQAAyEEAAOZCAADAwQAAKEIAAIDAAABgQQAAjEIAABTCAAAQQQAAWMIAAIjBAAAYQgAASEIAAMBBAAAAwgAAwEEAABBBAACIwQAAoMAAABDCAACIwgAAgEEAAIC_AAAgQgAABEIAAATCAAD4wQAAmMIAAPhBAABowgAAqMEAADzCAACAPwAAeMIAAFRCAACWQgAAoMAAAADAAACowQAAgsIAAJDCAACAQQAAEMEAAEBAAAAAwQAAoEEAAKjBAACoQQAAgEAAAOBAAADgQQAAeEIAAAhCAABkwgAAGMIAAMRCAAAIwgAAOMIAAEBAAACIwQAAHMIAAGDBAAC0QgAAuEEAAKzCAAAoQgAASEIAAIjBAAAAwgAAUEIAAOjBAACgQQAAGMIAAERCAAAgQgAAYMEAAKDBAAAoQgAAaMIAAEBAAAAUQgAAsMEAAOjBAABwwQAAIMIAAKTCAAA8wgAASMIAAIhBAACwwQAAIEEAAHRCAADAwAAAQMAAAJjBAABQQgAAAEAAACxCAADAQAAAIEIAACBBAAAEwgAAEEEAACTCAACQwQAAkMEAABxCAABAwAAAPEIAAJBBAACYwgAAPEIAAARCAADgwQAA0MEAAEDAAACAQQAAoMAAABxCAADAwQAAkMEAAEDCAACSwgAAgMEAACTCAADgwAAAZMIAAFTCAACAwAAAKEIAAARCAACGQgAALEIAAEBBAAAMQgAAgMAAAAhCAAAowgAAwMAAAHDBAACQQQAAgsIAAI5CAADgQQAArsIAAEDBAABQwQAAkkIAAJpCAAAYwgAA2MEAAATCAABQwQAAcMEAABjCAABkwgAAXEIAANjBAABwwQAABEIAAGTCAAAQQgAAUEEAAPDBIAA4E0AJSHVQASqPAhAAGoACAAA0PgAAUD0AAAS-AABkvgAAjj4AAMI-AAAUPgAAf78AAL6-AAB8PgAAgLsAAA2_AABkvgAAuD0AAJa-AABAPAAA-D0AAOi9AAAcPgAA7j4AAGE_AAAEvgAAuD0AAI6-AACYvQAAcD0AAEw-AABwvQAAqL0AAJi9AADKPgAA4LwAALg9AADgPAAAdD4AAFA9AACCPgAAuL0AANa-AACevgAAQDwAAJg9AAC4PQAA4LwAAFA9AAAUPgAAHD4AAJi9AABwPQAAjr4AABS-AAAjvwAAoLwAAIo-AAB0vgAAyD0AAPo-AACevgAAsr4AAI4-AACOvgAA7j4AAGw-AACoPSAAOBNACUh8UAEqjwIQARqAAgAAVD4AAIY-AABEvgAAIb8AAHS-AAAQvQAArj4AAIY-AACIPQAABD4AAJI-AACAuwAAFL4AADy-AAD4PQAAUL0AADS-AADSPgAAvr4AAMI-AABQvQAA6L0AAOi9AAAsvgAAcL0AAAS-AABcvgAAHD4AAOC8AACovQAAUD0AADA9AACmvgAA4DwAAMg9AADovQAAND4AACQ-AACCvgAAUD0AACQ-AAD4vQAAdL4AABQ-AACIvQAAcD0AAH-_AABEPgAAiD0AAOi9AAB8vgAAij4AABS-AAAcPgAAFD4AADw-AADYvQAALL4AAAQ-AACgPAAABL4AAKA8AABUPgAAoDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=rvqEcQx4f_k","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4492104543180505918"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"649997641"},"6805242242328194255":{"videoId":"6805242242328194255","docid":"34-2-11-Z8D30C8DA7623D694","description":"Get access to ALL videos on the website(Master Learner Pack): One Month Access(Rs.999/USD 12): https://tinyurl.com/DM-OneMonth Six Months Access(Rs.1,999/USD 24): https://tinyurl.com/DM-SixMonths...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2174832/f9c79b1669387d933fce4c62f09da5f1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-KG2mwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D4UNkQcBrLaQ","linkTemplate":"/video/preview/6805242242328194255?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Logarithms - Basics | What are Logs? | Infinity Learn","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=4UNkQcBrLaQ\",\"src\":\"serp\",\"rvb\":\"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-9PMCAv4A6QkEAwsB_wAABP_4-P7-AOID_AoJ_AIABAkFAPcBAAD_ChMIAAAAAPH49vz5AAAAAgzzAe8A_wASBQb5-AAAAP3z-wb_AQAA_QD3BwP_AAAN-_T5_wAAAOwO9P7_AAAA9gn49QAAAAAF__r2AAAAACAALcxw0Ds4E0AJSE5QAiqEAhAAGvABfwgIAeTuzgHJNef_6PTKAMv8JwAYSvkAxwQ6AcDj9ADwCMgA-wD5_sH6DAG7BBcAHAHDACkO9QEfDusAGd4AAQwz-wEC4gP_IRMvAtwDB_7__j3-3_EP_hQHz_3689z98_op_Dnw9v_289sGD_4-AQLrKfwAxBkC--Pu_bjt6_385t79-S34ARDx9vrg9TAHDhLa_xogBgPzTeYHCPD4_sn1G_4OE9AARPj0ACQrFf_07PMB9AYRBAfnKgfMNBsCAQww-_3x7_kS_vr4HNHyBNfu-fIPLOMC9gESDiv96vn35wIA3hrx88kGAQDp_usEIAAtjbsTOzgTQAlIYVACKs8HEAAawAdaaL--PF4SPdKMBT1TYBy9JELjvG-RBb2V0gO-lpinvL-0rDvUgQw-Ur2AvQLSwLv7PDa-I7ERvKwQgD3LgDM-5tGIvZhiMzxxPVq-5xa_PYVMqLzxhN69gB-fPLdBDjyWr1A9wrdVvMimZr2pwdQ96qg0PO1KprwR8WC9IwUAvR0zljvcmwQ81JPevPztAb1iiUI9_oDHPLI_2jwg6wk-xW3ZvKqZNby8T489K9aFPTufS7wFNDG-87oUPT4HlryQURk9eoQ_PfxmLD3jzEW99qy1PN5kBjuTmMa9ho-IPI7RlTysYws9DQYyPFrsm7wPdq89igMmu0ZRIrpjtB6-NhZ7u39gWDzwf2w9ZqnAPeVlCTzjpdu9RQUYPa-3CD3BTAC9f7RJPVN9grylS689ANuWPZlho7o8xvC8hQHPukfAMrzkO8Y7jPcDPr8syDz081A908APvbuSrrw7btu7eIKYvF10qjtOXuS91kJ_PAevxDtb5U494ypNuQ-4Ljwumak9ulc8PZ1uNDwFI6U91gI7vknlmjoP3eI8dXQcvhhi-rndwX49vLskPYh7kbyGWp49J1BEul03gLwV_SE8Up7Zvd4hhbzfrhE8TKnrvb3d1DtNBUa9YarZPEdXabtkJ7Q7J1MiO76Bbrw3dfk81UIpPeAfgLtWpUi9xBoZvGCg1jswgxE-QEQUPTaMW7qxMMQ99UXnvMD2U7oX3os9IpnAO7cokrtKShW9MVrMvbIjVbdOxGy8StURvex4n7s8vfI9SshRvVfBjjnhJI08zeA0PUkssrlx4Dq9LrpLPXIWxzcRDIY9z0lvvBUlijiS81S9JzaKvZ-qCbm8d_U7yywCvb6YAbmv0wO9CBRau21ZHTkCNCO8Tat3vSGzXjnJixE9-C3EvNYXiLmluTo9W8GVvVMOKjjKw4K8adMHveAHpTgPUia8YO7NukJYJzgDRpI9Pc3uPLZH0DirJog9z7eavfufhzmu_dM8pYmSvPUHMThq-CY-de88PHJBtzhevlW9RInGPQGzhreaBxA93jjJvQg0-zZU_tY7zuLlPU9VWjgqTCm9DT29PfDPXzlEr1U9f9h3vHMalTdG8eg6lgK3vMbvZzdJ_tY8LzUfPErZgzid2e49n5WTuqNqDrlCxzM8j1MUvT1EJLjDEYM5UFUhvYShK7cAAna96hLEPD3I87cm3JC8FjAxvkGgWrmjubQ9yH2LPYDxgzgTaXY93p9cPW-_c7grppK8BjneOw5mnzd8JLq9OYm3PFxsCrcgADgTQAlIbVABKnMQABpgFfoAWQYoyxDuGd_55Bcm5tzy6gLa9f_s6f_ZHPzsw-np5Ab8AFTjJgWtAAAAOfTWNroAGW3O7OMYCd_7sYHeEepyDPj209JB-K4ZGu8n4RgC8ShUAM36xBbqAtMOAvYjIAAt8mokOzgTQAlIb1ACKq8GEAwaoAYAANDBAACgQQAA6MEAAODBAABcwgAAOMIAACxCAACgwQAAEEEAAGxCAACgQAAAmsIAABDCAAC-wgAAkMEAAFDBAADgQQAAqEEAAIC_AABAwQAAIEEAABDBAAAsQgAAEEEAACBCAAAIwgAAMEEAAFjCAABMQgAAJEIAAMjBAABAQgAARMIAAAjCAACIwQAAAAAAAIhBAAC8QgAACMIAACxCAABIQgAAqMEAAARCAADwQQAAAMAAAIBBAAAQwgAAqMEAAJZCAAAwwQAA0MEAAAzCAADwwQAAwMAAAIC_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-AAD4PQAAJL4AAKg9AACGPgAACT8AAEW_AADevgAAZL4AAFS-AACSvgAABL4AAAs_AABEvgAAvr4AAEA8AAAEPgAAuD0AAEs_AAB_PwAA0r4AAKi9AAAkvgAADL4AAJi9AACaPgAAmL0AAOg9AAD6PgAAwj4AAJa-AADovQAAUD0AAHQ-AAC4PQAArj4AAHS-AAANvwAAUD0AAEC8AADGvgAALL4AAGy-AABMPgAAPD4AAJo-AACGvgAAUL0AAIK-AAB0vgAAfL4AAAw-AABwPQAALL4AABw-AABzPwAAML0AAIC7AAAvPwAAhr4AABw-AAC4PQAAiL0gADgTQAlIfFABKo8CEAEagAIAAKg9AABAPAAAHL4AACO_AADIvQAAoDwAAAw-AADoPQAABL4AAKA8AAAQvQAAZL4AAAw-AABcvgAARD4AAKi9AACoPQAABz8AAIi9AADGPgAA2L0AAOg9AAAQPQAAyL0AAJg9AABEvgAAVL4AAKC8AABQvQAAiL0AAOA8AACoPQAA4LwAABA9AAAEPgAAir4AAHw-AACYPQAAbL4AAFA9AADgvAAAgLsAAHS-AAC4PQAAFL4AAEA8AAB_vwAA4DwAACy-AAAwPQAAcD0AAIg9AADIvQAAhj4AALi9AADYPQAAcL0AADC9AADoPQAAiD0AAHA9AAAsPgAA2D0AACy-IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=4UNkQcBrLaQ","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6805242242328194255"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"333086386"},"5157180392857723119":{"videoId":"5157180392857723119","docid":"34-6-3-Z13281C4196F0A989","description":"Printable Notes: https://ludusnotes.com/introduction-t... * * Extended Video: https://bit.ly/logarithmsx ** Hey Everyone! In this video, we'll be walking through an introduction to logarithms.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2974197/149ce8f44b1b7ca6bd9d28e2c21826b8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/8OH6zwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DXWpS_l4OCrE","linkTemplate":"/video/preview/5157180392857723119?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Logarithms || Evaluating Logs & Natural Logs | Algebra 2","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XWpS_l4OCrE\",\"src\":\"serp\",\"rvb\":\"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_AQA8AULBRAD_QD-C_jy-P7-AAII-_3_BP4A8wD-_v8AAAAFDP8FAwAAAPcA9QL7_wAAFAT0APYAAAARCPj99wAAAPv4_Pv_AQAA8gb7BwMAAAAM_QQA_wAAAPAEBPz-_wAA9wsI_QAAAAAABAL9C_4C_iAALYjv3js4E0AJSE5QAiqEAhAAGvABfxrW_9z25wHJAugBww0uAYwWDf9DIN8AwRIlAb3i9ADrHPYA9-2q_wP92gDC9jT_4wbD___jCABJ8_j_IOXtACQDAQAttvQBSe8g_-4C8v_cJhP_DRoNARnU0AMe_9j_6QMZ_O_r0v7sA78CCtJCAw4ILgQL4hj-2PEF__IeCv7_4PYE5xEF--_b__kEDDX-9P0P-RIO0PzmGRMD9wzf_Q_5GgECIvcCCevmCOvMCQTa5QwL3OnbBAQILv7oGPkF5OAf_9fe5voGIgnvOiHtCdUjAQgR1wgD_CP0COrIAPD_6esA4fIDA8YGAQDhBf8DIAAtGPAMOzgTQAlIYVACKs8HEAAawAcfvM6-sRKYO0btwDssLs68cXCOPCHegLsuqZ-9Awu7vFPwb7yfWzg-5xN-vdgKP7xU_B--J8wqPXfzuTzFVYU-VDBvvZt_KrxYx9G9DLyJPGwDfL2OQKy9ofEpPZqpmLsjZfA8zNT_PCu9W7xhXYs9Ug_RPJALEz0kuiK9CQyDvUvqJL0ypRo9VbSDu0yZCr1cjMa9IwugO-NnKL1sz8w9QjofvHeBVDsz9xS8TZrrvNBDDb2scOu98NOCPDIFqbteHIs8LoitvIaH2Tsrvfa9pUOxvS2kMrwPQsS6an7jOlyKULysYws9DQYyPFrsm7wn8qk9Rx9zPYM7yLuoyCG-AnwcPejpbTyNOoQ8tg-5PPFWpzwDc1m9DeaaPS9jL7zNYTI9ZVFYPPtOXbws_qU850DFPalorDzU74K8nTcEvTN_2Drt7gM8Fy8UPHijhTz081A908APvbuSrryqXag9S3APPG41a7yQwA--0nSRvLU_BLx7fdI8Vyx5PV0uBzvPAw4933k4vUsPtzvFNUM9-FENvglvLLtTghU86KaovdtcCrzdwX49vLskPYh7kbxIGAY-bsllve3VBbxxY4m9zBG9vSy1JDsDwS097LxyvZe4QbjwdL29ApqovWSftrqtgTK9t1bFPP4w_Ls3A7e8-a5SPTQRNrznB-S8aJePvZm1GLvf-eU9TZSMu3kr4DptAeE95J4uvazaJLiXI589-8Z8vQOsEjp5p6c7gIpZvaYJVrZflIW88LRGvGzIX7iTYpE9poE_vYOTrLmYx7U9hu5tPezTdDlCTLi9rvI9um3Bj7c9LO88uH4wvNjVxLetL7c6_RLxvbwjiTnl9kO7_AMAvazrCrnQ4Ss9X2InPSbsvLlTHpK9ShvIveFzmzdOqLE8BSAkvHtjo7nCouI8BrigvB6xJLhwvHa9YxkNPG6g6rYCA1I9WpzxvCm8Nbl0kjI9lcUUvHsAHzhar4M9AY_DvabRWjl5JTe4VGQePZ6okjjZ9cG85WRivaLIarhTM7W8DiByPSSYIrmv2Bk889qWvUlaH7fYmDw9tCXGPM4fgLi0kBC-2IyiPZl7BLeJtuO8rI-HvBTa_TiUIw69ksqYuwcuA7hZh0O99rPYvPZXYTiSXRk-2U9QvazCP7mr3xa9DfsdvqO8_rhvRWe9tBabvU5w-LebS1u9kjynPW1wgTgy7qw9XCa-vexqQzci_-w9NSkFPvN-W7iLg4C9OGgvPZC4iri0Afi9tVhFPVHgXDhutoM7My3WvFR9cbcgADgTQAlIbVABKnMQABpgM_wAKREk2wAGFuvw_v4S0NAF-P7Y_ADp4gAIHAb0_QP21OsD_0PQA-26AAAAJgvjKAoACl7r77kTDOrTwa3mDwh__us_yBkN2snfERcI5xzQ7xczAOLOzh8EF9cDJRIrIAAtbic-OzgTQAlIb1ACKq8GEAwaoAYAAExCAACgwQAACEIAAMjBAACAQAAAcEEAAEhCAADgwAAANMIAAGBBAACgwAAAwEAAAFDBAABAQAAAMEIAAMBBAACgwAAA6MEAAAAAAAB4wgAA8MEAAHDBAADQwQAAcEEAAKBBAAAwQQAA2MEAAOjBAAA0QgAA4EEAAAjCAABcwgAALMIAACxCAACwwgAAQEAAABBBAABwQgAAwMAAAPDBAAAEQgAAwMEAAJxCAAAkwgAAwMAAAPjBAABMQgAAwEEAAFBBAABAwAAAMMIAAKhBAAAAAAAAsEEAALDBAADgwAAAwMEAAJhBAABEQgAAokIAAAAAAAA8wgAABMIAALDCAAAowgAA-MEAAADAAAB4wgAAwEEAALDBAACOQgAAYEIAAKjCAABIQgAAuEEAAJTCAADKwgAAgEIAAFDCAAAQwgAA3sIAABhCAABAQAAAgEEAAABCAAC4QgAAQMIAACRCAACYQgAAkMEAAOjBAABcQgAA8MEAAODBAABQQQAAVMIAAIhBAABgwQAAjEIAAIBBAAAIwgAAiEEAAPBBAABswgAAjsIAAHhCAABQQQAAgEAAAKjBAACaQgAA2EEAAEBCAAB0wgAATMIAAPBBAACUQgAAQEAAAHjCAAAAQAAATMIAAIC_AAAEwgAAHMIAAOjBAAAYQgAAQEAAAJjBAACKwgAAGMIAAJDBAAA0wgAA4EAAAExCAABAQgAAwMAAAFBCAABAwgAAAEAAACDBAACMwgAAyEEAAExCAAAIQgAAUMEAAMhBAAAMQgAA0MEAABxCAAAQwQAA6MEAAMBAAACgQQAAiEEAAFDBAAD4QQAA4MEAAHjCAAAcwgAAQEEAAOBBAAAkwgAA-EEAAIBAAADIQQAA-EEAAOjBAADYQQAA-EEAAADAAAAIwgAAsMEAANjBAAAAAAAAgD8AAHDBAACAQQAAEEEAADjCAAD4QQAAtEIAAIzCAAAQQQAAQEAAAJ7CAADQQQAAOMIAAHDBAAAgwQAA4EAAABDCAAAAwQAAoEAAADDBAAAEQgAAgL8AABhCAADwwQAArkIAAHDBAAAAwiAAOBNACUh1UAEqjwIQABqAAgAAbD4AAPi9AAAMPgAAbL4AAEw-AABBPwAAij4AAHO_AADyvgAAij4AADC9AAAZvwAAcD0AAKo-AACWvgAAbL4AALg9AABwvQAAlj4AAHU_AAB_PwAAsr4AAEC8AAC-vgAAmr4AAEw-AADoPQAABL4AAKg9AADKPgAAtj4AAKi9AADYPQAApj4AAHA9AAAUvgAAmD0AAAS-AAC-vgAAqD0AAES-AABUPgAABD4AAHy-AAAcPgAAFD4AAFA9AAC2vgAAQDwAABy-AACKvgAAhr4AADQ-AACuPgAAyL0AAAQ-AAAnPwAAZL4AACS-AAAlPwAAur4AAIo-AABkPgAABD4gADgTQAlIfFABKo8CEAEagAIAAFA9AAAMPgAAUL0AAE-_AABUvgAA2L0AAGQ-AADIvQAAED0AABQ-AADoPQAARL4AAAS-AAB8vgAABD4AAMi9AACIvQAABT8AAOi9AACyPgAAQDwAABC9AAAQPQAAPL4AAFC9AAAwvQAAmr4AAEQ-AADgvAAAoLwAAAQ-AAD4PQAADL4AABy-AACCPgAAgLsAABE_AACmPgAAnr4AAOC8AACuPgAAgLsAAL6-AABEPgAA6L0AAIg9AAB_vwAA4DwAAFC9AABUPgAAcD0AABA9AAAwvQAAPD4AAAw-AAAMPgAAuL0AAJi9AABQPQAAFL4AAAQ-AAC6PgAAXD4AAOA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=XWpS_l4OCrE","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":3840,"cheight":2160,"cratio":1.77777,"dups":["5157180392857723119"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3780575584"},"11331022384080236948":{"videoId":"11331022384080236948","docid":"34-3-14-Z41C0165014FC5D8E","description":"How to solve a logarithmic equations. Math Notes: https://tcmathshop.com/ If you’re looking for a math course for any of the following, check out my full Course Catalog at...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1661706/d0190d551b989950084e6562bb268769/564x318_1"},"target":"_self","position":"16","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dr8EX4JjaMW8","linkTemplate":"/video/preview/11331022384080236948?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"log(3x + 7) + log(x – 2) = 1 x =? How to solve a logarithmic equations STEP BY STEP","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=r8EX4JjaMW8\",\"src\":\"serp\",\"rvb\":\"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_ADuBQ0GEgP9ACf3AgDzBAQA8-_5_wYC_wD9-A__9wAAAAEN-v0FAAAA-vzz-fX-AQAN9vb9AwAAAP4AEPr3AAAAE_H7_v8BAADs8v0MBP8AAPkBBP__AAAA7hX_-v___wDzEv79AQAAAAUB-wUAAAAAIAAtTMXGOzgTQAlITlACKnMQABpgLwYAHx0T2fsRD-Td-C0i3vf-4uTOBv_5AwDwPQfEDfrT8fkc_0y6AxCvAAAAMAjNHggABmQI8vhBIcfxr7nGEvx_7Qrv5Svt6tQBH_s1EhT64wJVAJrk9P0L9Ocv3vc3IAAtIcItOzgTQAlIb1ACKq8GEAwaoAYAAFxCAABAwAAAJEIAAGzCAABwQgAAsMEAAKZCAABAwAAA4MAAAARCAAD4QQAAcMEAAODBAABAwAAAgEIAAADBAAAAwAAAoMEAAAhCAACAwQAALMIAAADCAABYwgAAmEEAAIjBAABAwQAAYMEAAIjBAACAPwAA-EEAABDCAAAQQgAAGMIAAMDAAADYwQAA0EEAAMBAAAC-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_AADivgAADD4AAMg9AAC-vgAAir4AAFQ-AADCvgAAdL4AAI4-AABQvQAAqD0AABU_AAB_PwAA4LwAABQ-AABsvgAARL4AAOi9AACaPgAAir4AAGw-AAC4vQAApj4AAFC9AABAvAAAcD0AACw-AADIvQAAbD4AAEC8AADOvgAAqr4AABy-AACYPQAAmD0AAOA8AAAMvgAAZD4AAHw-AAA0vgAAUD0AAIa-AABkvgAAir4AANg9AAC6PgAAgr4AAIC7AAAVPwAAir4AAHy-AADoPQAARL4AAPI-AAB8PgAA-L0gADgTQAlIfFABKo8CEAEagAIAADA9AACSPgAAJL4AACG_AADOvgAAcD0AALo-AACePgAALD4AADQ-AAAEPgAAoDwAAGy-AAAcvgAAqD0AAEA8AAA8vgAA7j4AAMa-AADyPgAAgLsAAGS-AAB8vgAABL4AAJi9AADIvQAAFL4AABQ-AAAkvgAABL4AAKA8AADgPAAAJL4AAKi9AABMPgAAiL0AAHw-AACWPgAAtr4AAEA8AABQPQAAmL0AADC9AAAQvQAAHD4AAIi9AAB_vwAAXD4AAEC8AABsvgAABL4AAJ4-AACgPAAA6D0AAEQ-AAAkPgAA6L0AAIi9AAA0PgAAJD4AADA9AACYPQAAdD4AADQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=r8EX4JjaMW8","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11331022384080236948"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8840232457927294418":{"videoId":"8840232457927294418","docid":"34-5-8-Z3016B908BCB54444","description":"What are logs? No not like the ones from trees, silly! We need to know about logarithms. Amazon: https://amzn.to/2HtNpVH Bookshop: https://bit.ly/39cKADM Barnes and Noble...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2837278/25f97f64d1f1cab019136f9c6f5d68b8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/FFdnQwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1Yv4fEsGpvM","linkTemplate":"/video/preview/8840232457927294418?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1Yv4fEsGpvM\",\"src\":\"serp\",\"rvb\":\"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_AQA6gkDAwoB_wAUAvL69QIBAAII-_3_BP4A_wIF-f8BAAAJBwYPAQAAAPv89fn2_gEADAb1AwMAAAAS_gD5_wAAAAb-AfcJAAEB9v_8DAT_AAANCAEFAAAAAPYE_wD__wAA_QT-_QEAAAAL_PruAAAAACAALYjv3js4E0AJSE5QAiqEAhAAGvABfxfwAOfw-gPL99YAxvzsAaksI_81E8gAuikpA8HxBADaF9EA4_3ZAO8F8QDQDyYA6-XtAP_lBwA9EO0AQuH5AN8GIwEpvPUBEv8JAOfyEAD__jv_Efke_x0S4wIaDeb-Dg4Q_vkByf8K67sJD_48ARftOQD98fEB_er_ANkWMAEu7RQB9Qvy_hDx9vrZBCEC8hEJ_fP3-vjrI_4ECv7WAefy_PoR3PUCOg7-C_Lz-Pf3rfv63uveA-X4HwH4C_v68BIJB-j38gnwFQnwGuDt9dvy8AIHCgD37vTy_xrUEPMUBgL63gMc-_jd_RDtGPQBIAAt77kYOzgTQAlIYVACKs8HEAAawAfpYtO-ivAFPZB4wzzSuqe9uEAiPVVlhLwjE_C91y0nPff9QLwqsSY99sxXvQ_WIblZwFS-BIyMOSrP1zwUlEI-RkUcvXPoALzZQ0u-Q5J2Oyl_gr0x6iq-unDWOkESEb0Jh_49ff16PTi4Gb0RF8U9OsMZPbDfuDxwLW47oyuHvLNWmbxQYgG9DlMXPLyOXbx4wAo8BLcEvcZKsTzhlwo-caiUvbqrbLujMrC7DI43vTn1nLx0e-m9pRbKvLtak7wd6ME9hvx-uepJjzzgPVG8kH0VPcb_Ojs_1Cy9eKI6PVV9uLxatlG6Ks_yvJxe2LySXgQ-_gJLPbtNbjwyfaq994mIPXF8Zbsnkn49fPmIPeB8jzzLBqO9htVuPabc2Dy60tc8yEmcPeYDBrsfPGQ9PuNHPdAB0TsMNqq997-tPD7nrrwIm_C8_2McPRcNmTxTeds91vEOPQ1GNryaXXe8AiUKvVLLHLtVj7q9vjk3PBeZJby46vo9hNkkvWXIjLzl7hM-F8c3PMKKcLvFNUM9-FENvglvLLsP3eI8dXQcvhhi-rkP8JQ94DBRvPLD0juGWp49J1BEul03gLzxbpu9ycuavV5tAbzVrzQ9QVDJvJV-BLwcfQy94WzpPBlrhzsD4fE7ghHFPH1DH7vTlKM9e45-PQH16jsvv9O9cqPtvNe0XrvaVQg-fN4wOlSdAruxMMQ99UXnvMD2U7piL1Q9KaPAvL93I7uAG9g8aG-1vXQ7RrkRYEc84-mQPVsAMDmTB4g94jcqPcLpcrljG8I9etCBOzhqK7mzvyK9-pDBPOOtHzmsU6U8HlhpvH92oTnOuPq8xo4BvRJoxrf076M7j_2svKAKZTm0_re6HIQvPR-juLprHsG9xK6ivVn4IjhOqLE8BSAkvHtjo7k_x0c8H3vCvSHHJLg-jDo9dtq_vblhlrdtMck8KEnyvLSerDgFpH08moSBPbC1qThq42M9lstrvYupNzlBTQi934ekO_Z-VTisYya8BlZEvOQuALlOtiE9ZOlDvc57nLevPZi8F_Qevv2KqrhveZO7czA2PbTFkLdr8em9edYkvO4vYDY5rgs9KIUWvAFPQzf1uO88EnYAPRKDvjhPJHi9OCZVPH23PTcvphk-eDvMPPzmG7kr3BO8ZJUCvnE9G7h9DPE8EXOEvU2-lTfYS569wBqxPJTX97bsA707fNQPvhf63Lgi_-w9NSkFPvN-W7i_Fgo9oW_BPf8vnLchrCa9VAF3PWErUrjAcmm9-DuvvFC4tLcgADgTQAlIbVABKnMQABpgMPwARvw0tQzsF-vS2Qof3NIP4yLoBf_mxP8HLAzsAOzW2BQGADOrBv-jAAAALxS-LQwAAX8Dw98h-_DzqqTl_QJs_wQssQIk14EF5hY2-ebkAB5pANvVoh_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_AACAwAAAOMIAAEzCAADwQQAAbMIAAAAAAACoQQAATMIAAIDBAACiwgAAcEIAAJBBAAAkwgAAQMAAAIA_AAD4QQAAQMAAAIhBAACAwQAAUEEAACBBAACiQgAAgL8AALhBAABMwgAAHEIAAMDAAACIwQAANEIAAGDBAAC-wgAAYEEAACBCAAAMwgAA6MEAACBBAABAQAAAwMAAADRCAACAwQAAAAAAAOBBAADowQAA2MEAAJjBAAAMQgAAsMEAAABCAAC4QQAA6MEAAJbCAAAcQgAAcMEAAFTCAAC4QQAAsMEAAKhBAAAAAAAAgD8AANhBAACWQgAAVEIAAFDCAACgQAAA0EEAAHDBAABkQgAAOMIAAIbCAADAwQAADMIAAHBCAACMwgAA8EEAAEhCAADMwgAAmMEAAIA_AABQQQAAJEIAAKhBAAAAwAAA2MEAAHBBAAA4wgAAYMIAAADCAACCwgAAIEIAAETCAAC4QQAAoEAAABTCAADgwQAAAMIAAJjBAAAcQgAAcMEAAETCAACIwgAAYEIAAKhBAACYwQAAGEIAAIBCAADgwAAA4EAAACBBAAAcQgAAAEAAAJBBAADowSAAOBNACUh1UAEqjwIQABqAAgAAcL0AADS-AACIPQAANL4AAEQ-AAD2PgAAHD4AADW_AADWvgAA2D0AAKC8AADyvgAAyD0AAKY-AAD4vQAABL4AALi9AACIvQAA2L0AAAk_AAB_PwAADL4AAJg9AACCvgAAhr4AABw-AADGPgAAUD0AAEC8AACIPQAAsj4AAIg9AAAsvgAAjj4AACw-AACCvgAAlj4AALq-AACivgAAML0AAM6-AAAUvgAA2D0AAPi9AAAQvQAAND4AAEw-AAA8vgAA2L0AAHS-AAA8vgAAmr4AAJg9AACaPgAAHL4AAHA9AAA9PwAAgr4AADw-AAAVPwAAiL0AAIo-AAA8PgAARL4gADgTQAlIfFABKo8CEAEagAIAAKA8AAAwPQAAuL0AAC-_AAAMvgAAML0AAAw-AACIvQAA-L0AAMg9AABQPQAAfL4AAJg9AACCvgAAdD4AABS-AAC4PQAA-j4AADC9AACyPgAAMD0AAJg9AACoPQAABL4AAKg9AAA8vgAAJL4AAKg9AACIvQAAgLsAANg9AADIPQAAqL0AADC9AAA8PgAA6L0AAGw-AACuPgAAhr4AAKg9AABsPgAAED0AACy-AAAcPgAAqL0AAEA8AAB_vwAA-D0AAFC9AAAEPgAA2D0AAMi9AACIvQAAXD4AAKA8AADoPQAA4LwAAIg9AAC4vQAA2L0AAEA8AACePgAAPD4AAJi9IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=1Yv4fEsGpvM","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["8840232457927294418"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"4106281887"},"10023272982282718804":{"videoId":"10023272982282718804","docid":"34-8-4-Z33BEF0A6BA1EE69B","description":"How to solve logarithms without a calculator using established index and log laws. In this Video we cover the log example Log2(1/16) = x...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/788049/f18b095ec4b35363dad9b3b5fbf7c53f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/aHDCnAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DhwZP265NK0I","linkTemplate":"/video/preview/10023272982282718804?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Log2(1/16) = x How to Solve Logs by Hand","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=hwZP265NK0I\",\"src\":\"serp\",\"rvb\":\"EqoDChMyMDU5NDQ2NjUwMzYxNzc3MjQ5ChI5NjIyNzMwNzEzNTAxODUyNTkKFDEwOTc2OTk2NDUyODA0OTk2MDg4ChQxMDA2Nzg2OTE5MjI1MDUwNTA0OAoTMTMxMDk1MzgwNTA0MjQ5NTk1MwoTMTc0NjM5MTg1MTAzNzA0MTU4OQoTMjI4NTU5NTUwMTg5MzQ1OTg5NAoTMjQ5MjE1MjM0MjAwOTY2OTAxMgoUMTQ1Njc3NzIxNTU2ODU1MDg0NTUKEzU0NTYyNjUyNDg0Nzg3MTYyNzEKEzQ0OTIxMDQ1NDMxODA1MDU5MTgKEzY4MDUyNDIyNDIzMjgxOTQyNTUKEzUxNTcxODAzOTI4NTc3MjMxMTkKFDExMzMxMDIyMzg0MDgwMjM2OTQ4ChM4ODQwMjMyNDU3OTI3Mjk0NDE4ChQxMDAyMzI3Mjk4MjI4MjcxODgwNAoTOTIyNjM5MzQzMTc2NTgxMDU5MgoTNzA1MzI3MTAzNDE1ODk2MDcyMgoUMTc2ODExMzgwMzA4Nzg1NzQ2ODcKFDE3OTUzNzM4OTE2Mjg2MzQ1Mzk3GhYKFDEwMDIzMjcyOTgyMjgyNzE4ODA0WhQxMDAyMzI3Mjk4MjI4MjcxODgwNGqTFxIBMBgAIkUaMQAKKmhob2Rmd3BvcHpoeHl0cmNoaFVDNUU1RFE1S2FHZVNIT2JDVHNLTTNsdxICABIqEMIPDxoPPxOJAYIEJAGABCsqiwEQARp4gf0C-_n8BADl_Qn_CP4B_xQC8vr1AgEA9An0CfsB_wAE-wEFAQAAAP0L_AULAAAA_gnwAvf-AAD89fv9-QAAAAAB___7AAAA-Ab6AP8BAAAB-fMDA_8AAAPw_Ab_AAAA9wIG9v__AAAECAMEAAAAAPv6BwoAAAAAIAAtiO_eOzgTQAlITlACKoQCEAAa8AF_A-X-twvXAOn7_ADMBgYClTYr__w-yQCqMjMExtXnAOkd1wDhF8v-6AQLANEl-gA9zcf-E9AGAEnj4_8b_fsABtwZAAa44wJDExwDyADb_v_9Sf7h3QwB_bzYAOoD2f_vLRD8CvrSAecszQQs-jcBBP9QARzyKAPt4w8BzgkXBPvh2P31KQYG49EX-9AFKQINx_z-KyIV-_4W5wAD4-EIEs8P-xAXxwAy0vUC-AwX-ePt6vTi9gcDHuwYAdkeLQEBDzn6z-D_9u_z__9H3-r9wP34_gvr8wn6FgIR5-AA_Pfv9O3jHe8Fw-z78_ME9AAgAC3HDfg6OBNACUhhUAIqzwcQABrAB7-6ur6AC9c8kf1ivO3yHb6mnC-9dd4yOhefUr7H11498FhHvLgZgz2UOVG9f-YCvXalNb59Clu8itKYOxSUQj5GRRy9c-gAvHoXL74IPDA9KZ_UvPxUJb4x2S68B3PmN2yw8DwKa6E7DtmjuvrV3D03fnI8q6AWPDG5LLy0lyi9opknvPlGub1Tl5y9ZZrfvOdhVz1GuCS9ZNdMPVsxoj2xkVq9T2xPPPV5hj3s92S90luXPMwbVLv2JRu89RkGvQU08T0VJA28NkNfOkq4i72tMtO8R1ACvOVeAL1NmLq82P9vvEELCT2-7Eg9EUqpvCOpYL2QXJi96CQlvHf1Cr6gny49XPlRvCcXEz5P1XM9FamwPEnVe72f84m8tSAQPOjyaz0RE4m9SCLqO1wdAD6QZpE8M1eCO-juhLzHJXM96a4tOm62I735WHA9CRLAPAItPb1uJIq9VoVhvOZAzz3vSKs8UcC2vHPpSb0DbTw7UTsyvAceBDv2eMY8PBjOu2SV0j2tCwk9Rl1rPMU1Qz34UQ2-CW8su5XcPL088cG9Q-nmu3xH7T0gNw09U10fu7Ycjj2Sl7G7QJmQO4fmFbzlmoI8qkBSvNWvND1BUMm8lX4EvJxbV7xUBBO9wsM0PCJOzLzU_2g9i_WyuunsyTxMGM09X-iaufGeY71ddo69idXGubnDJj0gz069U9SVu2Ytij00nUK9WbY9uxJQwT3BeEG9YdMKutkQEr1Jzei8WkKlO8UTS734jcq9P-1HubF1mTgHCwe-rDL4uIEKQj0P1RA8Yc0zuAh_Fb1bRK89mIH4OKIGqD3lLbI8xIwnucui8LxbQh6-NwXjOW0A1r2iGKy6_HLYOK2bVz00Jkk9LeiFuG0-Sb1i9Ey-6u6sORtaLr0YHiC9xj5Ut4qiMT2uWAu85WWfuP6wSjzEIBW96bEHNxfBmryuDE88LZNhOTrW2js5D2c91DnfN1qvgz0Bj8O9ptFaOcN3LD3uSKA9be0bOQbOYz0NKyY9y9VLtvqBtj0b-iI9BuJ9N95Z-zzY8Z-9GA2XOG2pYz2oNOI8sUW0uFifzL2mLjQ9g38sOSemJj1p8p68ZDxVOPPuQ71kFSC924YXuI0ivznTuUe8qTcaOPcBKD5wYd298We_uewJ3LzhKV-9xKVjuHX19LxZ3eq9DSPxNf2kNb3fiE27V8V0NtWU5Dy-Nqa986NNuCL_7D01KQU-835buIMOrz1CFtg8aUnZt7Krj718uvo8c5Q0Nxrba7yxgxA8OoEkOCAAOBNACUhtUAEqcxAAGmAz_AAT50HZMO0J2NXoDRDQCNDdFMZA_xm9_xJTAwv0F87YHhkALgMA4KMAAAAxCfgK7QA8f_EG5irT_iC6wM0l3U4CBCar6xAbueEqA9n0DAz0MnwA0M698yrMxgbq_S4gAC28Dx47OBNACUhvUAIqrwYQDBqgBgAAgD8AAIjCAADWQgAAlMIAAHRCAABAQQAApkIAAEDAAABQwQAAuEEAAIA_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-L0AAFQ-AADYvQAAQb8AAPi9AAAcPgAAoLwAAHS-AABEvgAAcD0AABW_AADgvAAAML0AABQ-AAAcPgAA8j4AAH8_AACivgAA2L0AAIA7AADSvgAAoLwAAHA9AAD4PQAAJL4AABC9AABsPgAABL4AANi9AAAUPgAAQDwAAIg9AAB0PgAAfL4AAMK-AACevgAA4LwAAHC9AABQvQAArr4AALK-AABwPQAAcD0AAOA8AACAOwAABL4AAHQ-AAD4vQAAkj4AACw-AADevgAAuL0AAE0_AAA8vgAAUL0AALY-AACAuwAAyL0AAIg9AAAEPiAAOBNACUh8UAEqjwIQARqAAgAALL4AAOC8AAAcvgAAH78AAKi9AAB8PgAAhj4AAJI-AACgvAAAZD4AAIg9AAAUPgAA4LwAAEy-AACIPQAAoDwAAIg9AAAVPwAAFL4AANo-AADqvgAA4DwAAKA8AADIvQAA2L0AADA9AABwvQAAoDwAAEC8AACavgAAgLsAALg9AAAwvQAAqL0AAKY-AAAMvgAA-j4AAAE_AACavgAAuL0AANg9AAAMvgAAFL4AANi9AADgvAAAoDwAAH-_AABAvAAADL4AAMg9AACGPgAAgLsAAEw-AAAkPgAALD4AAEA8AACAuwAAdL4AAPg9AADoPQAAZD4AABA9AADYvQAALD4gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=hwZP265NK0I","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10023272982282718804"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"29080127"},"9226393431765810592":{"videoId":"9226393431765810592","docid":"34-2-4-Z2E3E937E3015026E","description":"In this this video we are going to derive another logarithmic identity. It states that log (1/a) base a equals to -1. Logarithm Playlist: • Logarithm Enjoy... proof, what is the log of a...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2350653/7cf370e94aaffc8fde6b3672f2ae7d3e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/s-plPQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1uWkvea2TYM","linkTemplate":"/video/preview/9226393431765810592?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Log 1/a Base a | Log of Inverse of a Number | Log of Reciprocal | Logarithms","related_orig_text":"LOGA","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"LOGA\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1uWkvea2TYM\",\"src\":\"serp\",\"rvb\":\"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_gD_9wcE8Pn9_QD8Bfr9BgT-AP35Df_4AAAABQz_BQMAAAD9AfMHAv4AAAkG-_kEAAAACgAH_PwAAAAFAf0G_wEAAPb-AwQDAAAA_AwCDAAAAADzC__--_8AAAQE_QYAAAAA-Pr--QAAAAAgAC0SBuA7OBNACUhOUAIqhAIQABrwAX8ECQHY3tIA3w_iAM8e-ACqLgP__S7XAN_k_QDG7OMBAAPwANcS6P8EAwYAvhDv_zj30P8c0AcBNc7o_yHY8AHP_vMAGOLgACEvIv8A8AMA7QkiAAje_P8J3ur_BwrW_vX6JP3zCPr-7wPJAiD8KQHo-igEJOYk_wKuAQbaCfcC_eni_tYP6wX69Pv73QQeAgrTEP4iFfv4-iTRAvfiAQb09Rn5DBHWABLpDw3vC_IAyvsCAQX2BgMREQUB6goRBNzzKAXW-u72-esE-CoU-v3uC-_6--oECA4XBv_33QD8_-zuABoR__TeBQP15hL__CAALc0dJzs4E0AJSGFQAirPBxAAGsAHZ0a3viwSbjzwgQI9-g3TvZB4wzxscAe9GQIgvghqgLs4_Ik8vD-OPd2TKDuJ4Cm9WcBUvgSMjDkqz9c8y4AzPubRiL2YYjM8dXT8vS8Tmj0LAhC9t7IkvikVwzxE0GK8rpjGPasynbu79Om7MA7uPC8ZB7yYtkk8b4sIvUNHB7oj2Bi9-Ua5vVOXnL1lmt-8BcN5PTDNvr2754o8ATEpPpr3br0PkPk8L-u0PAkAKb3bXRa9_AuUO9YGwLuv_wC8hNjZPdT1nzx3nTc6ZCqzvUE-Mrw6xjo8ybNGvbYaiLzocrk83_zGPewb8zyHWT69oG_rPQ_XhbxENgu9qMghvgJ8HD3o6W08LTfCPblGVT34rpw8sOLUvXU2yT08jlU8CwL1vHv8Obxw75o8D7-GPe-crD3DVZQ8RBTTPEfSiTxfFsk8JNENvJloKz1YkGY8huJOPZD-cr1GoFW8ql2oPUtwDzxuNWu8UEE0vWBht7wp5Zo8Biw5PH2PnzyHZZi8iFcoPaWNmTx8Z826BSOlPdYCO75J5Zo6Yyp9vKNFzL2HKka8n7C0PemPS7m4Rny7u89WPRIVCr2mT6G85xYfvY1Hqbz5A7O60TIaPOeMSL3ZPDM8gK-SvTPwK7uUf1K8s_4iPHN1Ub1XB4C86ezJPEwYzT1f6Jq5hehVPTVwsb0ixxk6eROiPScBA7uQw9y7whO6PWqb6rqZALK6TQ9vPU9FJb2qKCM4rzLkO0Zb1bxxwT66qKwmvCbfTL10uaq5x2cSPq6g6b2QCbS5GFWQPXiLMT1gxBI5G-qhvbJblT0s2Zk4UW6mPUpsbb3mggY5vsXgO6xTFb6mjMk5fBn7vBgJbT0ZWY03LrrpO8x5az0cvE05zCDDvdQNBL4IU4U5_Lf9Oksvf7tqCVm3uEACPhI0Ab20PwU5_rBKPMQgFb3psQc3rqpNPdjDWzrjz4o5S1aqPEO5Iz208h055yLZPAPM_L1SScg5p70XPWhOaD2GYDo5OAEfvA6DeTzgwUS49dnguhoa6rxYVcg3088IPGYx0b0-S5c2b3mTu3MwNj20xZC3yuEDvhDXHjyX_U43ibbjvKyPh7wU2v04boAevdaDkzsiTQq4alwOPRZ3cjxTucK3weMrPtylaLwHiXS5uF2Tvc-rkL3adUS4f4mDvQ7Y9b0L0RK4IE2rvc5Ehz1nPDQ4FPRNPbS9p72Xl423yvRwPSLhKz7xy4o4j-aTvSsILzwJljC4tAH4vbVYRT1R4Fw4X9LYvEmpuryR6gu3IAA4E0AJSG1QASpzEAAaYCr2ADYSN_4F9xrYBdgIL-7C8uMGwff_78n__ycSCv8JuMYK8_9J2B7ppQAAADz38iALAP5_xditJQ8D9beuuzzyfvEFHJL1I8a9yuQlKO7fIRkYVAAD76oCEfq-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_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-AAAwPQAABD4AADS-AACoPQAAmL0AAEw-AABEvgAATL4AAIC7AABkPgAAHL4AAJg9AADovQAAfL4AADy-AADovQAALL4AAMg9AAD4vQAABL4AAKg9AAAcPgAAEL0AAJg9AACKvgAAoDwAAKi9AADoPQAAcD0AAGS-AAAQvQAAGT8AACS-AACgPAAAjj4AALi9AABUPgAADD4AAHC9IAA4E0AJSHxQASqPAhABGoACAABQvQAAjj4AADS-AAD6vgAAir4AABy-AADYPQAAvj4AAIC7AADoPQAAgDsAAMi9AADYvQAAXL4AAOC8AAAwvQAAML0AAOI-AAAsvgAAxj4AAMi9AACoPQAANL4AAAy-AAAEvgAATL4AAHC9AADoPQAAHL4AALi9AACoPQAATD4AAJK-AAC6PgAAcD0AAIq-AAD2PgAA3j4AAKa-AABwPQAAcD0AACS-AADavgAAqD0AAKA8AACYPQAAf78AAHA9AAB0vgAAuL0AAIC7AACCPgAAFD4AAFw-AACoPQAADD4AAHC9AAAwPQAADD4AAJg9AAD4vQAAmD0AADC9AAC4vSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=1uWkvea2TYM","parent-reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["9226393431765810592"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"2490585449"}},"dups":{"2059446650361777249":{"videoId":"2059446650361777249","title":"Logarithmic, \u0007[loga\u0007]- logb=log (a/b), prove that log(a/b)=\u0007[loga\u0007]- logb, logarithm , Logarithms, P...","cleanTitle":"Logarithmic, loga- logb=log (a/b), prove that log(a/b)=loga- logb, logarithm , Logarithms, PART-3","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=3OApfgPzN14","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/3OApfgPzN14?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZzRWWEUzT3FYcmZJcjRxMU1UREJDZw==","name":"E-Learning Hub By Udgam Welfare Foundation (NGO)","isVerified":false,"subscribersCount":0,"url":"/video/search?text=E-Learning+Hub+By+Udgam+Welfare+Foundation+%28NGO%29","origUrl":"http://www.youtube.com/@elearninghubyudgam","a11yText":"E-Learning Hub By Udgam Welfare Foundation (NGO). "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":892,"text":"14:52","a11yText":"Süre 14 dakika 52 saniye","shortText":"14 dk."},"views":{"text":"1,9bin","a11yText":"1,9 bin izleme"},"date":"31 tem 2020","modifyTime":1596153600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/3OApfgPzN14?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=3OApfgPzN14","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":892},"parentClipId":"2059446650361777249","href":"/preview/2059446650361777249?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/2059446650361777249?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"962273071350185259":{"videoId":"962273071350185259","title":"\u0007[loga\u0007] 1/25=-2/3 | Find the value of a in the following | logarithms | ex 3.2","cleanTitle":"loga 1/25=-2/3 | Find the value of a in the following | logarithms | ex 3.2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=fXdlXUBafQQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/fXdlXUBafQQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDX3JVZjdXS25jcFphc2c1OEc4bW16QQ==","name":"INCREASING KNOWLEDGE","isVerified":false,"subscribersCount":0,"url":"/video/search?text=INCREASING+KNOWLEDGE","origUrl":"http://www.youtube.com/@INCREASINGKNOWLEDGE","a11yText":"INCREASING KNOWLEDGE. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":282,"text":"4:42","a11yText":"Süre 4 dakika 42 saniye","shortText":"4 dk."},"date":"3 ara 2021","modifyTime":1638489600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/fXdlXUBafQQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=fXdlXUBafQQ","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":282},"parentClipId":"962273071350185259","href":"/preview/962273071350185259?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/962273071350185259?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10976996452804996088":{"videoId":"10976996452804996088","title":"15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases)","cleanTitle":"15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases)","host":{"title":"YouTube","href":"http://www.youtube.com/live/mc8Ki0_yzWA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/mc8Ki0_yzWA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWWdMODFsYzdET0xOaG5lbDFfSjZWZw==","name":"Math and Science","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+and+Science","origUrl":"http://www.youtube.com/@MathAndScience","a11yText":"Math and Science. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2699,"text":"44:59","a11yText":"Süre 44 dakika 59 saniye","shortText":"44 dk."},"views":{"text":"442,5bin","a11yText":"442,5 bin izleme"},"date":"4 mar 2020","modifyTime":1583335493000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/mc8Ki0_yzWA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=mc8Ki0_yzWA","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":2699},"parentClipId":"10976996452804996088","href":"/preview/10976996452804996088?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/10976996452804996088?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10067869192250505048":{"videoId":"10067869192250505048","title":"16 - Simplify Logarithms - Part 1 (Log Bases, Calculate Logarithms & More)","cleanTitle":"16 - Simplify Logarithms - Part 1 (Log Bases, Calculate Logarithms & More)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=bjsYdM2oym8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/bjsYdM2oym8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDWWdMODFsYzdET0xOaG5lbDFfSjZWZw==","name":"Math and Science","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+and+Science","origUrl":"http://www.youtube.com/@MathAndScience","a11yText":"Math and Science. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":901,"text":"15:01","a11yText":"Süre 15 dakika 1 saniye","shortText":"15 dk."},"views":{"text":"101,8bin","a11yText":"101,8 bin izleme"},"date":"31 mar 2020","modifyTime":1585658746000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/bjsYdM2oym8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=bjsYdM2oym8","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":901},"parentClipId":"10067869192250505048","href":"/preview/10067869192250505048?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/10067869192250505048?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1310953805042495953":{"videoId":"1310953805042495953","title":"Logarithms 2 - Part 2 Proving \u0007[loga\u0007]-logb=log(a/b)","cleanTitle":"Logarithms 2 - Part 2 Proving loga-logb=log(a/b)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=H0Ngwb8GjF8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/H0Ngwb8GjF8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDazlsdzB3TVVTbVB4WFBIZml5emhFQQ==","name":"Marta Hidegkuti","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Marta+Hidegkuti","origUrl":"http://www.youtube.com/@martahidegkuti5884","a11yText":"Marta Hidegkuti. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":176,"text":"2:56","a11yText":"Süre 2 dakika 56 saniye","shortText":"2 dk."},"date":"24 mar 2020","modifyTime":1585008000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/H0Ngwb8GjF8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=H0Ngwb8GjF8","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":176},"parentClipId":"1310953805042495953","href":"/preview/1310953805042495953?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/1310953805042495953?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1746391851037041589":{"videoId":"1746391851037041589","title":"logab=\u0007[loga\u0007]+logb proof, \u0007[loga\u0007]+logb=logab, prove that logab=\u0007[loga\u0007]+logb, logarithm tutorial, ...","cleanTitle":"logab=loga+logb proof, loga+logb=logab, prove that logab=loga+logb, logarithm tutorial, PART 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=joS9LBSwwyo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/joS9LBSwwyo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZzRWWEUzT3FYcmZJcjRxMU1UREJDZw==","name":"E-Learning Hub By Udgam Welfare Foundation (NGO)","isVerified":false,"subscribersCount":0,"url":"/video/search?text=E-Learning+Hub+By+Udgam+Welfare+Foundation+%28NGO%29","origUrl":"http://www.youtube.com/@elearninghubyudgam","a11yText":"E-Learning Hub By Udgam Welfare Foundation (NGO). "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1746,"text":"29:06","a11yText":"Süre 29 dakika 6 saniye","shortText":"29 dk."},"views":{"text":"2,1bin","a11yText":"2,1 bin izleme"},"date":"30 tem 2020","modifyTime":1596067200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/joS9LBSwwyo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=joS9LBSwwyo","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":1746},"parentClipId":"1746391851037041589","href":"/preview/1746391851037041589?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/1746391851037041589?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2285595501893459894":{"videoId":"2285595501893459894","title":"Log | Log basic to advance | Logarithm | Logarithm formula | log for beginners","cleanTitle":"Log | Log basic to advance | Logarithm | Logarithm formula | log for beginners","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Yy5oCPkksJo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Yy5oCPkksJo?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDLXhPc05sU1MxaU4zVFo1MHZkSlg5Zw==","name":"Impetus Gurukul - Defence Academy","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Impetus+Gurukul+-+Defence+Academy","origUrl":"http://www.youtube.com/@impetusgurukul-defenceacad5367","a11yText":"Impetus Gurukul - Defence Academy. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":5555,"text":"1:32:35","a11yText":"Süre 1 saat 32 dakika 35 saniye","shortText":"1 sa. 32 dk."},"views":{"text":"22,5bin","a11yText":"22,5 bin izleme"},"date":"19 eyl 2020","modifyTime":1600493434000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Yy5oCPkksJo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Yy5oCPkksJo","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":5555},"parentClipId":"2285595501893459894","href":"/preview/2285595501893459894?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/2285595501893459894?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2492152342009669012":{"videoId":"2492152342009669012","title":"\u0007[loga\u0007](b) = 1/logb(a) Proved | #logarithm #log #proved #mathematics","cleanTitle":"loga(b) = 1/logb(a) Proved | #logarithm #log #proved #mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9npNGOk1a9A","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9npNGOk1a9A?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRnQ2YzZUUFlEVkUwX3pMSHBTUUlxQQ==","name":"Maths-Code","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Maths-Code","origUrl":"http://www.youtube.com/@Maths-Code","a11yText":"Maths-Code. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":35,"text":"00:35","a11yText":"Süre 35 saniye","shortText":""},"views":{"text":"1,3bin","a11yText":"1,3 bin izleme"},"date":"15 kas 2023","modifyTime":1700006400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9npNGOk1a9A?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9npNGOk1a9A","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":35},"parentClipId":"2492152342009669012","href":"/preview/2492152342009669012?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/2492152342009669012?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14567772155685508455":{"videoId":"14567772155685508455","title":"Evaluate the Logarithm without a Calculator: Example with Log base 2 of 4","cleanTitle":"Evaluate the Logarithm without a Calculator: Example with Log base 2 of 4","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rQ8XW6hKRvU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rQ8XW6hKRvU?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":33,"text":"00:33","a11yText":"Süre 33 saniye","shortText":""},"views":{"text":"11,5bin","a11yText":"11,5 bin izleme"},"date":"7 ara 2020","modifyTime":1607299200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rQ8XW6hKRvU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rQ8XW6hKRvU","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":33},"parentClipId":"14567772155685508455","href":"/preview/14567772155685508455?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/14567772155685508455?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5456265248478716271":{"videoId":"5456265248478716271","title":"log(a/b)=\u0007[loga\u0007]-logb || ln(a/b)=lna-lnb Proof of Logarithm Rule","cleanTitle":"log(a/b)=loga-logb || ln(a/b)=lna-lnb Proof of Logarithm Rule","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=tivJazsNP2c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/tivJazsNP2c?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDU3hHcWt0Q2E1Rk9RTkkzcTNfZEhLZw==","name":"NumberX","isVerified":false,"subscribersCount":0,"url":"/video/search?text=NumberX","origUrl":"http://www.youtube.com/@NumberX","a11yText":"NumberX. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":86,"text":"1:26","a11yText":"Süre 1 dakika 26 saniye","shortText":"1 dk."},"views":{"text":"13,4bin","a11yText":"13,4 bin izleme"},"date":"17 nis 2021","modifyTime":1618617600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/tivJazsNP2c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=tivJazsNP2c","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":86},"parentClipId":"5456265248478716271","href":"/preview/5456265248478716271?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/5456265248478716271?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4492104543180505918":{"videoId":"4492104543180505918","title":"Logarithmic Equations Solving - log[log(2+log(base 2)(x+1))] = 0","cleanTitle":"Logarithmic Equations Solving - log[log(2+log(base 2)(x+1))] = 0","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rvqEcQx4f_k","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rvqEcQx4f_k?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDRlljcS1RRFpnM2xIR21kRmNuRTNKdw==","name":"Math Booster","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+Booster","origUrl":"http://www.youtube.com/@MathBooster","a11yText":"Math Booster. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":95,"text":"1:35","a11yText":"Süre 1 dakika 35 saniye","shortText":"1 dk."},"date":"5 oca 2022","modifyTime":1641340800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rvqEcQx4f_k?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rvqEcQx4f_k","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":95},"parentClipId":"4492104543180505918","href":"/preview/4492104543180505918?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/4492104543180505918?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6805242242328194255":{"videoId":"6805242242328194255","title":"Logarithms - Basics | What are Logs? | Infinity Learn","cleanTitle":"Logarithms - Basics | What are Logs? | Infinity Learn","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=4UNkQcBrLaQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/4UNkQcBrLaQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDaVRqQ0lUXzlFWFYxV3AxY1kwemFVQQ==","name":"Infinity Learn NEET","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Infinity+Learn+NEET","origUrl":"http://www.youtube.com/@InfinityLearn_NEET","a11yText":"Infinity Learn NEET. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":175,"text":"2:55","a11yText":"Süre 2 dakika 55 saniye","shortText":"2 dk."},"views":{"text":"1,5milyon","a11yText":"1,5 milyon izleme"},"date":"14 kas 2016","modifyTime":1479081600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/4UNkQcBrLaQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=4UNkQcBrLaQ","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":175},"parentClipId":"6805242242328194255","href":"/preview/6805242242328194255?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/6805242242328194255?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5157180392857723119":{"videoId":"5157180392857723119","title":"Introduction to Logarithms || Evaluating Logs & Natural Logs | Algebra 2","cleanTitle":"Introduction to Logarithms || Evaluating Logs & Natural Logs | Algebra 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=XWpS_l4OCrE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XWpS_l4OCrE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDd2liemtBcWc1UTBkVmNRdDd4Y09QZw==","name":"Ludus","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Ludus","origUrl":"http://www.youtube.com/@LudusYT","a11yText":"Ludus. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":977,"text":"16:17","a11yText":"Süre 16 dakika 17 saniye","shortText":"16 dk."},"views":{"text":"2,1bin","a11yText":"2,1 bin izleme"},"date":"10 eki 2021","modifyTime":1633824000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XWpS_l4OCrE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XWpS_l4OCrE","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":977},"parentClipId":"5157180392857723119","href":"/preview/5157180392857723119?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/5157180392857723119?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11331022384080236948":{"videoId":"11331022384080236948","title":"log(3x + 7) + log(x – 2) = 1 x =? How to solve a logarithmic equations STEP BY STEP","cleanTitle":"log(3x + 7) + log(x – 2) = 1 x =? How to solve a logarithmic equations STEP BY STEP","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=r8EX4JjaMW8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/r8EX4JjaMW8?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDZ2xOWHpCbzZibUtjOW90S2YtT3VHUQ==","name":"TabletClass Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TabletClass+Math","origUrl":"http://www.youtube.com/@tabletclass","a11yText":"TabletClass Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":717,"text":"11:57","a11yText":"Süre 11 dakika 57 saniye","shortText":"11 dk."},"views":{"text":"7,1bin","a11yText":"7,1 bin izleme"},"date":"6 oca 2025","modifyTime":1736121600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/r8EX4JjaMW8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=r8EX4JjaMW8","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":717},"parentClipId":"11331022384080236948","href":"/preview/11331022384080236948?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/11331022384080236948?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8840232457927294418":{"videoId":"8840232457927294418","title":"Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions","cleanTitle":"Logarithms Part 1: Evaluation of Logs and Graphing Logarithmic Functions","host":{"title":"YouTube","href":"http://www.youtube.com/live/1Yv4fEsGpvM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1Yv4fEsGpvM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDMGNkXy1lNDloWnBXTEgzVUl3b1dSQQ==","name":"Professor Dave Explains","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Professor+Dave+Explains","origUrl":"http://www.youtube.com/@ProfessorDaveExplains","a11yText":"Professor Dave Explains. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":489,"text":"8:09","a11yText":"Süre 8 dakika 9 saniye","shortText":"8 dk."},"views":{"text":"143,2bin","a11yText":"143,2 bin izleme"},"date":"30 kas 2017","modifyTime":1512000000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1Yv4fEsGpvM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1Yv4fEsGpvM","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":489},"parentClipId":"8840232457927294418","href":"/preview/8840232457927294418?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/8840232457927294418?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10023272982282718804":{"videoId":"10023272982282718804","title":"Log2(1/16) = x How to Solve Logs by Hand","cleanTitle":"Log2(1/16) = x How to Solve Logs by Hand","host":{"title":"YouTube","href":"http://www.youtube.com/v/hwZP265NK0I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/hwZP265NK0I?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDNUU1RFE1S2FHZVNIT2JDVHNLTTNsdw==","name":"Cowan Academy","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Cowan+Academy","origUrl":"http://www.youtube.com/@CowanAcademy","a11yText":"Cowan Academy. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":137,"text":"2:17","a11yText":"Süre 2 dakika 17 saniye","shortText":"2 dk."},"views":{"text":"85,7bin","a11yText":"85,7 bin izleme"},"date":"5 mar 2017","modifyTime":1488672000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/hwZP265NK0I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=hwZP265NK0I","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":137},"parentClipId":"10023272982282718804","href":"/preview/10023272982282718804?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/10023272982282718804?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9226393431765810592":{"videoId":"9226393431765810592","title":"Log 1/a Base a | Log of Inverse of a Number | Log of Reciprocal | Logarithms","cleanTitle":"Log 1/a Base a | Log of Inverse of a Number | Log of Reciprocal | Logarithms","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1uWkvea2TYM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1uWkvea2TYM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDM2JuNHYzQkV5R1E5WTZ3UGJJSjNaUQ==","name":"Clarity Education","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Clarity+Education","origUrl":"http://www.youtube.com/@ClarityEducation","a11yText":"Clarity Education. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":53,"text":"00:53","a11yText":"Süre 53 saniye","shortText":""},"views":{"text":"1,1bin","a11yText":"1,1 bin izleme"},"date":"12 tem 2021","modifyTime":1626048000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1uWkvea2TYM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1uWkvea2TYM","reqid":"1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL","duration":53},"parentClipId":"9226393431765810592","href":"/preview/9226393431765810592?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","rawHref":"/video/preview/9226393431765810592?parent-reqid=1766667997984779-15595372187255915518-balancer-l7leveler-kubr-yp-vla-174-BAL&text=LOGA","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"5953721872559155187174","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"LOGA","queryUriEscaped":"LOGA","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}