\begin{align*}
2^{2x} & =256^{\frac{1}{2}} \\
2^{2x} & =(2^8)^{\frac{1}{2}} \\
2^{2x} & =(2^4) \\
2x & = 4 \\
x & = \boxed{2}
\end{align*}
Question:
Solve for $x$: $2^{2x} = 256^\frac{1}{2}$.
Answer:
Let's think step by step.

user
2
Solve for $x$: $2^{2x} = 256^\frac{1}{2}$.
test