Solve for x: log₄(x) = 1/2

The definition of a logarithm states that if $\log_b M = c$, then $b^c = M$.
In this equation, $b=4$, $M=x$, and $c=\frac{1}{2}$.

$$4^{\frac{1}{2}} = x$$

A power of $\frac{1}{2}$ is equivalent to taking the square root.

$$x = \sqrt{4}$$ $$x = 2$$