Answer
$x=\dfrac{11}{3}$
Work Step by Step
Expressing the terms on both sides of the equal sign in the same base so that the exponents can be equated results to
\begin{array}{l}
125^{x-3}=25
\\\\
(5^3)^{x-3}=5^2
\\\\
5^{3x-9}=5^2
\\\\
3x-9=2
\\\\
3x=11
\\\\
x=\dfrac{11}{3}
.\end{array}
