Answer
$x=\frac{5}{2}$
Work Step by Step
Step 1: $25^{x-1}=125$
Step 2: $(5^{2})^{x-1}=5^{3}$
Step 3: $5^{2x-2}=5^{3}$
Step 4: $2x-2=3$
Step 5: $2x=3+2$
Step 6: $2x=5$
Step 7: $x=\frac{5}{2}$
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