Answer
$x=3$
Work Step by Step
First, we let
$\log_{3}{27} = x$
RECALL:
$\log_b{y} =x \longrightarrow b^x=y$
Use the rule above, where y=27 and b=3, to obtain:
$3^x=27$
Write 27 as $ 3^3$ to obtain:
$3^x=3^3$
Use the rule "If $a^x=a^y$, then $x=y$" to obtain:
$x=3$
