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We've been in high demand for easy solutions to logarithms. Today, we've solved easy and basic logarithm problems from Endemik Publications' AYT Math Question Bank. Those looking for...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4321481/666f6af58670a8b2fc33240a76f1fbd0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/KWuZPgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=videoid:2933767120302784548","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik öğretmeninin logaritma ve fonksiyonlar konularını anlattığı kapsamlı bir eğitim içeriğidir. Öğretmen, Endemik Yayınları'nın AYT Matematik Soru Bankası kitabından örnekler kullanarak konuyu ele almaktadır.","Videoda logaritma konusunun temel ve orta düzey soru çözümleri, eşitsizlikler, logaritma grafikleri, mutlak değer fonksiyonları ve bunların grafikleri detaylı olarak anlatılmaktadır. Öğretmen, logaritma kurallarını, fonksiyonların birebir ve örten olma durumlarını, tanım ve değer aralıklarını grafiklerle açıklamakta ve çeşitli problem tiplerini adım adım çözmektedir.","Video, logaritma konusunu anlamakta zorlanan öğrenciler için hazırlanmış olup, asal sayılarla ve küçük sayılarla çalışmanın önemi, kök ve küp kök içeren logaritma ifadelerinin sadeleştirilmesi, fonksiyonların terslerinin alınması ve yeni nesil soru tipleri gibi konuları içermektedir. Öğretmen, video sonunda daha fazla soru çözümü için gelecek bir kayıt yapacağını belirtmektedir."]},"endTime":1765,"title":"Matematik Dersi: Logaritma ve Fonksiyonlar","beginTime":0}],"fullResult":[{"index":0,"title":"Giriş ve Logaritma Videoları Hakkında Bilgilendirme","list":{"type":"unordered","items":["Eğitmen, Endemik Yayınlarından gelen yenilenmiş AYT matematik soru bankasından logaritma konusunu ele alacak.","Kanalda beş saate yakın logaritma videosu bulunmakta, bunların beşi grafik, üçü tanım konusunu içermektedir.","Bu videoda temel ve orta düzey logaritma soruları çözülecek, konuyu iyi bildiğinizi düşünenler yeni nesil soru çözümlerini beklemeleri önerilmektedir."]},"beginTime":0,"endTime":123,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=0&ask_summarization=1"},{"index":1,"title":"İlk Logaritma Sorusu","list":{"type":"unordered","items":["İlk soruda logaritma kök iki tabanında dokuz ifadesi çözülmektedir.","Kök iki ifadesi 2 üzeri 1/2 olarak, dokuz ise 3 üzeri 2 olarak yazılabilir.","Logaritma özellikleri kullanılarak ifade sadeleştirilerek sonucun 4/3 olduğu bulunmuştur."]},"beginTime":123,"endTime":251,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=123&ask_summarization=1"},{"index":2,"title":"İkinci Logaritma Sorusu","list":{"type":"unordered","items":["İkinci soruda karekök ve küpkök içeren karmaşık bir logaritma ifadesi çözülmektedir.","Kök ifadeleri ve tabanlar aynı temel sayıya (2) indirgenerek sadeleştirme yapılmıştır.","Sonuç olarak logaritma 2 tabanında 2 üzeri 19/24 ifadesi elde edilmiş ve cevap 19/24 olarak bulunmuştur."]},"beginTime":251,"endTime":377,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=251&ask_summarization=1"},{"index":3,"title":"Üçüncü Soru - Fonksiyonun Tanım Kümesi","list":{"type":"unordered","items":["Üçüncü soruda logaritma fonksiyonunun en geniş tanım kümesinde kaç doğal sayı olduğunu bulmak istenmektedir.","Logaritma fonksiyonunun tanım koşulları: tabanın pozitif ve 1'den farklı olması, logaritmanın içindeki ifadenin sıfırdan büyük olması.","Verilen ifade çarpanlara ayrılarak x²-4x-21=(x-7)(x+3) şeklinde yazılmış ve x\u003c14, x≠13 koşulları belirlenmiştir."]},"beginTime":377,"endTime":428,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=377&ask_summarization=1"},{"index":4,"title":"Eşitsizlik Sorularında Tablo Oluşturma","list":{"type":"unordered","items":["Eşitsizlik sorularında (büyüktür, küçüktür gibi) kendinize güvenmeyin, mutlaka tablo oluşturun.","Kökleri görmezden gelip kaçırma riskini önlemek için tüm kökler için tablo oluşturun.","Köklerin işaretini değiştirdiği için (eksi ve artı) tabloda doğru işaretleri belirtin."]},"beginTime":432,"endTime":493,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=432&ask_summarization=1"},{"index":5,"title":"Eşitsizlik Çözümü","list":{"type":"unordered","items":["Çözüm kümesi, eşitsizliğin pozitif olduğu yerlerdir: eksi üç'ten sonsuza, yedi'den sonsuza kadar.","İki eşitsizliğin kesişimi, her iki eşitsizliği de sağlayan değerler kümesidir.","Çözüm kümesi: eksi sonsuzdan eksi üç'e ve yedi'den ondört'e kadar olan aralıklardır (onüç dahil değil)."]},"beginTime":493,"endTime":640,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=493&ask_summarization=1"},{"index":6,"title":"Logaritma Fonksiyonlarının Grafiği","list":{"type":"unordered","items":["Logaritma fonksiyonlarında, ifade sıfır olduğunda dikey asimptot oluşur.","Logaritma fonksiyonlarının tanım kümesinde sıfır bulunmaz, bu nedenle y eksenini çizmek gerekmez.","Logaritma fonksiyonlarının grafiği, sıfır olmayan değerler için çizilir ve sıfıra yaklaşınca dikey asimptot oluşur."]},"beginTime":640,"endTime":775,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=640&ask_summarization=1"},{"index":7,"title":"Logaritma Fonksiyonu Problemi","list":{"type":"unordered","items":["Verilen logaritma fonksiyonunda, x=-2 için fonksiyonun değeri c'dir.","Fonksiyonun sıfırdan 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alabilir."]},"beginTime":930,"endTime":1041,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=930&ask_summarization=1"},{"index":9,"title":"Fonksiyonların Özellikleri","list":{"type":"unordered","items":["Grafikten yorum yaparak, x₁\u003cx₂ olduğunda f(x₁)>f(x₂) olduğu için fonksiyon azalandır.","Fonksiyon x ve y eksenlerini keser, birebir ve örten bir fonksiyondur.","Tanım kümesi tüm gerçek sayılar olduğunda, fonksiyon y ekseninin tamamını tarar ve birebir ve örten olur."]},"beginTime":1041,"endTime":1116,"href":"/video/preview/2933767120302784548?parent-reqid=1769536346475477-2127236078638228866-balancer-l7leveler-kubr-yp-klg-12-BAL&text=Solution+Solvee&t=1041&ask_summarization=1"},{"index":10,"title":"Fonksiyon Tersi Hesaplama","list":{"type":"unordered","items":["e^(-15) = a eşitliğinde, her iki tarafın logaritması alınarak a değeri hesaplanır.","Fonksiyonun tersi hesaplanırken, 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