College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.4 - Evaluating Logarithms and the Change-of-Base Theorem - 4.4 Exercises: 21

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}
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