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 - Page 726: 26


$x \approx 2.40$

Work Step by Step

Divide $9$ on both sides of the equation to obtain: $e^x=11$ RECALL: $\ln{e^x}=x$ Take the natural logarithm of both sides to obtain: $\ln{e^x}=\ln{11}$ Use the rule above to obtain: $x=\ln{11}$ Use a scientific calculator to obtain: $x=2.397895273 \\x \approx 2.40$
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