Answer
$\approx0.1803$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use a calculator to approximate the value of the given expression, $
\log\left( \dfrac{518}{342} \right)
.$
$\bf{\text{Solution Details:}}$
Dividing the argument of the logarithm, the given expression is equivalent to
\begin{array}{l}\require{cancel}
\log\left( \dfrac{\cancel2\cdot259}{\cancel2\cdot171} \right)
\\\\=
\log\left( \dfrac{259}{171} \right)
.\end{array}
Using a calculator, the approximate value of the expression above is
\begin{array}{l}\require{cancel}
\approx0.1803
.\end{array}
