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: 29

Answer

$x \approx 3.66$

Work Step by Step

RECALL: $\ln{e^m}=m$ Take the natural logarithm of both sides to obtain: $\ln{e^{0.7x}}=\ln{13}$ Use the rule above to obtain: $0.7x=\ln{13}$ Divide both sides by $0.7$ to obtain: $x = \dfrac{\ln{13}}{0.7}$ Use a scientific calculator to obtain: $x=3.664213368 \\x \approx 3.66$
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