Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 8 - Radical Functions - 8.4 Solving Radical Equations - 8.4 Exercises - Page 655: 86

Answer

$a\approx 49.598$

Work Step by Step

Given \begin{equation} \ln (a+5)=4. \end{equation} This is a logarithmic equation. The solution steps are shown below. \begin{equation} \begin{aligned} \ln (a+5) & =4\\ e^{\ln (a+5)} &= e^{4}\\ a+5 & = e^{4}\\ a&= e^{4}-5\\ a & \approx 49.598. \end{aligned} \end{equation} The solution is $a\approx 49.598$.
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