Answer
$2$
Work Step by Step
RECALL
$y=\log{x} \longleftrightarrow 10^y=x.$
Note that $100=10^2$.
Thus, the given expression can be written as
$\log{10^2}.$
Let $y=\log{10^2}.$
Use the definition above to obtain
$y=\log{10^2} \longrightarrow 10^y=10^2.$
Use the rule "If $a^x=a^y$, then $x=y$" to obtain
$y=2.$
Therefore,
$\log{100} = 2.$