How do you solve $log_3(47) = log_8(x)$ ?

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Answer 1 · 2018-08-07T08:58:11

$x=1462.514$

As $log_3 47=log_8x$ , we have

$log47/log3=logx/log8$

or $logx=log47/log3xxlog8$

or $logx=16721/0.4771xx0.9031=3.1651$

and $x=10^3.1651=1462.514$

How do you solve log_3(47) = log_8(x) log_3(47) = log_8(x)?