Answer
Solution set = $\{3\}.$
Work Step by Step
$5^{x}=125\quad $ ...Recognize 125 as a power of 5
$ 5^{x}=5^{3}\qquad $... if $ a^{m}=a^{n}$, then $ m=n $
$ x=3$
Solution set = $\{3\}.$
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