Answer
$1.7925$
Work Step by Step
Using the Change-of-Base Formula, the given expression, $
\log_4 12
,$ is equivalent to
\begin{align*}\require{cancel}
&
\dfrac{\log_{10} 12}{\log_{10} 4}
\\\\&=
\dfrac{\log 12}{\log 4}
\\\\&\approx
1.7925
.\end{align*}
Hence, the expression $
\log_4 12
$ is approximately equal to $
1.7925
$.
