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: 32


$x \approx 24.76$

Work Step by Step

Divide 1250 on both sides of the equation to obtain: $e^{0.065x}=5$ RECALL: $\ln{e^m}=m$ Take the natural logarithm of both sides to obtain: $\ln{e^{0.065x}}=\ln{5}$ Use the rule above to obtain: $0.065x=\ln{5}$ Divide both sides by $0.065$ to obtain: $x = \dfrac{\ln{5}}{0.065}$ Use a scientific calculator to obtain: $x=24.76058327 \\x \approx 24.76$
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