Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.6 Solving Exponential Equations and Logarithmic Equations - 12.6 Exercise Set: 43

Answer

$x\approx0.050$

Work Step by Step

In exponential form, the given logarithmic equation, $ 5\ln x=-15 ,$ is equivalent to \begin{array}{l}\require{cancel} \ln x=-\dfrac{15}{5} \\\\ \ln x=-3 \\\\ \log_e x=-3 \\\\ x=e^{-3} .\end{array} Hence, the value of the variable that satisfies the given equation is \begin{array}{l}\require{cancel} x\approx0.050 .\end{array}
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.