Answer
$x=-3$
Work Step by Step
We are given the equation $5^{x}=\frac{1}{125}$. First, we must write both sides using the same base.
$5^{x}=5^{-3}=\frac{1}{125}$
Next, we must take the natural log of both sides.
$ln(5^{x})=ln(5^{-3})$
$xln(5)=-3ln(5)$
Divide both sides by $ln(5)$.
$x=-3$
