Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.8 - Exponential and Logarithmic Equations and Problem Solving - Exercise Set - Page 896: 7



Work Step by Step

$e^{6x}=5$ Apply $\ln$ to both sides of the equation: $\ln e^{6x}=\ln5$ Take $6x$ to multiply in front of its respective $\ln$: $6x\ln e=\ln5$ Since $\ln e=1$, this equation simplifies to: $6x=\ln5$ Solve for $x$: $x=\dfrac{\ln5}{6}\approx0.2682$
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