Answer
$\approx 2.102$
Work Step by Step
$10e^{3x-7}=5\Rightarrow e^{3x-7}=\dfrac {1}{2}\Rightarrow 3x-7=\ln \dfrac {1}{2}\Rightarrow x=\dfrac {7+\ln \dfrac {1}{2}}{3}\approx 2.102$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Chapter 4 Test Prep - Review Exercises - Page 492: 43
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