Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.4 - Exponential and Logarithmic Equations - 5.4 Exercises - Page 395: 43

Answer

$x=-0.223$

Work Step by Step

$\frac{1}{1-e^x}=5$ $1=5-5e^x$ $5e^x=4$ $e^x=\frac{4}{5}$ $\ln e^x=\ln\frac{4}{5}$ $x=\ln\frac{4}{5}=-0.223$
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