Asked by Jeanine

If loga4 = 1.585 what is loga36
Answered by Steve
assuming base a,

log36 = log(4*9) = log4 + log9

Now, since 9 = 4^1.585

log36 = 2*1.585 + 1.585 = 4.755

Interesting, isn't it, that

log_a(4) = log_4(9)

??
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