#### Answer

$x=4$

#### Work Step by Step

We are given the exponential equation $5^{x}=125$.
We can express each side using a common base and then solve for $x$.
$5^{x}=5^{4}=625$
Take the natural log of both sides.
$ln(5^{x})=ln(5^{4})$
$xln(5)=4ln(5)$
Divide both sides by $ln(5)$.
$x=4$