Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set - Page 488: 26


$x \approx -0.19$

Work Step by Step

The base in the exponential equation is $e$, so take the natural logarithm on both sides to obtain $\ln{e^x}=\ln{0.83}.$ Use the inverse property $\ln{e^x}=x$ on the left side of the equation to obtain $x=\ln{0.83}.$ Use a calculator and round-off the answer to two decimal places to obtain $x \approx -0.19.$
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.