## College Algebra (11th Edition)

$\approx0.1803$
$\bf{\text{Solution Outline:}}$ 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}