Question

Jawab dengan menggunakan cara ya..

Answer 1

2loga / 3logb = m
3loga / 2logb = n

m / n = (2loga / 3logb) / (3loga / 2logb)
= 2loga . 2logb / 3loga . 3logb
= alog3 . blog3 / alog2 . blog2
= log3 . log3 / log2 . log2
= 2log3 . 2log3
= (2log3)²

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4log 4logx - 4log 4log 4log16 = 2
4log 4logx - 4log 4log2 = 2
4log 4logx - 4log(1/2) = 2
4log 4logx - (-1/2) = 2
4log 4logx + 1/2 = 2
4log 4logx = 2 - 1/2
4log 4logx = 3/2
4^(3/2) = 4logx
8 = 4logx

4logx = 8