Answer
$x=2$
Work Step by Step
We are given the equation $8^{x}=64$. First, we must write both sides using the same base.
$8^{x}=8^{2}$
Next, we must take the natural log of both sides.
$ln(8^{x})=ln(8^{2})$
$xln(8)=2ln(8)$
Divide both sides by $ln(8)$.
$x=2$