Answer
See below
Work Step by Step
Let $x=\log_b m\\y=log_b n$
Rewrite as: $b^x=m\\\rightarrow b^{x^n}=m^n \\ \rightarrow b^{xn}=m^n\\$
Obtain: $\log_b m^n=\log_b b^{xn}$
Thus, $\log_b m^n=n\log_b n$
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