Answer
$x=6$
Work Step by Step
We are given the exponential equation $2^{x}=64$. We can express each side using a common base and then solve for $x$.
$2^{x}=2^{6}=64$
Take the natural log of both sides.
$ln(2^{x})=ln(2^{6})$
$xln(2)=6ln(2)$
Divide both sides by $ln(2)$.
$x=6$
