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: 27

Answer

$x \approx 1.30$

Work Step by Step

Divide $3$ on both sides of the equation to obtain: $e^{5x}=659$ RECALL: $\ln{e^m}=m$ Take the natural logarithm of both sides to obtain: $\ln{e^{5x}}=\ln{659}$ Use the rule above to obtain: $5x=\ln{659}$ Divide both sides by $5$ to obtain: $x = \dfrac{\ln{659}}{5}$ Use a scientific calculator to obtain: $x=1.298144707 \\x \approx 1.30$
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