Logaritmada Taban Değişimi (2 Soru) (Doğru Soru Hazırlamaları Her Geçen Gün Zorlaşıyor!)

https://i72.servimg.com/u/f72/19/97/10/39/logari67.png
https://www.facebook.com/photo/?fbid=10159941360433250&set=pcb.2011632939215209

10 tabanına geçilerek;
[ 5^(1 / 3) ]·log(3) / log(5) + 1 - log(3) / log(5) + (1 / 3)·log(5) / [ (1 / 2)·log(5) ] =
[ log(3) / log(5) ]·[ 5^(1 / 3) - 1 ] + 1 + [ (1 / 3) / (1 / 2) ] = [ log(3) / log(5) ]·[ 5^(1 / 3) - 1 ] + 5 / 3.

WolframAlpha Kontrolu:

https://i72.servimg.com/u/f72/19/97/10/39/logari68.png
https://www.wolframalpha.com/input?i2d=true&i=Cbrt[5]Log[5,3]+Log[5,Divide[5,3]]+Log[Sqrt[5],Cbrt[5]]
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https://i72.servimg.com/u/f72/19/97/10/39/logari69.png
https://www.facebook.com/photo?fbid=10159941360493250&set=pcb.2011632939215209

[ log(x) / log(4) ]·[ log(3x) / log(4x) ]·[ 4·log(4) / log(3x) ] = 4·log(x) / log(4x).

WolframAlpha Kontrolu:

https://i72.servimg.com/u/f72/19/97/10/39/logari70.png
https://www.wolframalpha.com/input?i2d=true&i=Log[4,x]*Log[4x,3x]*Log[3x,256]=Divide[4*Log10[x],Log10[4x]]