Answer
$x=\frac{e^4+5}{2}$
Work Step by Step
$\ln(2x-5)=4$
$\implies 2x-5=e^4$
Add $5$ to both sides
$2x=e^4+5$
Divide both sides by $2$
$x=\frac{e^4+5}{2}$
CHECK:
$\ln(2\left(\frac{e^4+5}{2}\right)-5)=\ln(e^4+5-5)=\ln(e^4)=4$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 1-9 - Cumulative Review - Page 761: 7
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