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