Answer
$2x = \ln 7$
$ x = \ln(7)/2$
Work Step by Step
Since $\ln(e^a)=a$, the equation can be simplified to $$\ln e^{2x}=\ln 7$$ $$2x=\ln 7$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 5 - Logarithmic Functions - Exercises to Skills for Chapter 5 - Page 232: 12
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