Answer
$0.369$
Work Step by Step
Using the properties of logarithms, the given expression, $
\log_b \dfrac{5}{3}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\log_b 5-\log_b 3
.\end{array}
Since it is given that $\log_b 3=0.792 $ and $\log_b5=1.161$, then the expression above, $
\log_b 5-\log_b 3
,$ evaluates to
\begin{array}{l}\require{cancel}
1.161-0.792
\\\\=
0.369
.\end{array}
