Answer
$x=2$
Work Step by Step
Expressing both sides of the equation in the same base, the given equation, $
2^x=4
,$ is equivalent to
\begin{align*}
2^x=2^2
.\end{align*}
Since the bases on both sides of the equal sign are the same, by the one-to-one property of exponential equations, the exponents must be the same. That is,
\begin{align*}
x=2
.\end{align*}
Hence, the solution is $
x=2
.$
