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: 22

Answer

$x=3.125$

Work Step by Step

$4e^x=91$ $e^x=\frac{91}{4}$ $\ln e^x=\ln\frac{91}{4}~$ (Using the Inverse Property: $\ln e^x=x$): $x=\ln\frac{91}{4}=\ln22.75\approx3.125$
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