Answer
$x=0$
Work Step by Step
Let
$\log_{4}{1} = x$
RECALL:
$\log_b{y} =x \longrightarrow b^x=y$
Use the rule above, where $y=1$ and $b=4$, to obtain:
$4^x=1$
Write 1 as $4^0$ to obtain:
$4^x=4^0$
Use the rule "If $a^x=a^y$, then $x=y$" to obtain:
$x=0$
