Answer
$x=2$
Work Step by Step
We are given the equation $6^{x}=36$. First, we must write both sides using the same base.
$6^{x}=6^{2}$
Next, we must take the natural log of both sides.
$ln(6^{x})=ln(6^{2})$
$xln(6)=2ln(6)$
Divide both sides by $ln(6)$.
$x=2$