Answer
$1.204$
Work Step by Step
Using the properties of logarithms, the given expression, $
\log_a 16
,$ is equivalent to
\begin{align*}
&
\log_a 2^4
\\&=
4(\log_a 2)
&(\log x^y=y\log x)
.\end{align*}
Using the given value, $
\log_a 2=0.301
,$ the expression above becomes
\begin{align*}
&
4(0.301)
\\&=
1.204
.\end{align*}
Hence, the given expression evaluates to $
1.204
$.
