#### Answer

$\log_2{2^5}=5$

#### Work Step by Step

Let
$x=\log_2{2^5}.$
RECALL:
$\log_{a}{y} = b \longleftrightarrow a^b = y.$
Use the definition above to convert the equation to an exponential equation and have
$2^x=2^5.$
The bases are the same, so the exponents must be equal. Thus,
$x=5.$
Therefore $\log_2{2^5}=5$.