#### Answer

$\log_8{8}=1$

#### Work Step by Step

Let
$x=\log_8{8}.$
RECALL:
$\log_{a}{y} = b \longleftrightarrow a^b = y.$
Use the definition above to convert the equation to an exponential equation and have
$8^x=8.$
The bases are the same, so the exponents must be equal. Thus,
$x=1.$
Therefore $\log_8{8}=1.$