If $3^m=81$ , then what is #m^3?

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Answer 1 · 2016-12-25T02:11:10

$64$

Sol. 1)
$81=3xx3xx3xx3=3^4$
$3^m=81, => 3^4=81, => m=4$
$=> m^3=4^3=4xx4xx4=64$

Sol.2) take log of both sides:
$3^m=81$
$mlog3=log81$
$=> m=log81/log3=4$
$=> m^3=4^3=4xx4xx4=64$

If 3^m=813^m=81, then what is #m^3?