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: 60

Answer

$x \approx 74.21$

Work Step by Step

Divide both sides by $6$ to obtain: $\ln{(2x)} = 5$ RECALL: $\ln{x}= y \longrightarrow e^y=x$ Use the rule above to obtain: $e^{5}=2x$ Divide both sides by $2$ to obtain: $\dfrac{e^5}{2}=x$ Use a calculator to obtain: $x=74.20657955 \\x \approx 74.21$
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