Jika nilai ^{2}log 3 = a dan ^{3}log 5 = b, nilai ^{6}log 15 adalah…

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Jika nilai ^{2}log 3 = a dan ^{3}log 5 = b, nilai ^{6}log 15 adalah…

Jawaban Terkonfirmasi

²log 3 = a  ↔  ³log 2 = 1/a
³log 5 = b
$begin{align} ^{6}log 15 &= frac{^{3}log 15}{^{3}log 6}\&= frac{^{3}log 3+^{3}log 5}{^{3}log 3+^{3}log 2 }\&=frac{1+b}{1+ frac{1}{a} }\&= frac{a+ab}{1+a} end{align}