Answer
{$\frac{3}{2}$}
Work Step by Step
Step 1: $5^{2x}=125$
Step 2: $5^{2x}=5^{3}$
Step 3: $2x=3$
Step 4: $x=\frac{3}{2}$
Therefore, the solution set is {$\frac{3}{2}$}.
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