Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.5 - Exponential and Logarithmic Equations - Exercise Set: 25

Answer

$x\approx 1.61$

Work Step by Step

Divide $5$ on both sides of the equation to obtainm: $e^x=5$ RECALL: $\ln{e^x}=x$ Take the natural logarithm of both sides to obtain: $\ln{e^x}=\ln{5}$ Use the rule above to obtain: $x=\ln{5}$ Use a scientific calculator to obtain: $x=1.609437912 \\x \approx 1.61$
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