Answer
$x=251$
Work Step by Step
Recall the logarithmic property that if $a^x=y$, then $\log_a y=x$ and vice versa.
We re-write $2^4$ as:
$2^4=16$
Now we simplify the given expression to obtain:
$2^4=\sqrt{x+5}$
$16=\sqrt {x+5}\\ (16)^2=(x+5) \\ 256=x+5\\ x=251$
