Answer
$x=\frac{2}{e^2-1}=0.313$
Work Step by Step
$\ln(x+2)-\ln x=2$
$\ln(\frac{x+2}{x})=2$
Using the inverse property:
$\frac{x+2}{x}=e^2$
$x+2=e^2x$
$2=(e^2-1)x$
$x=\frac{2}{e^2-1}=0.313$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - Review Exercises - Page 414: 94
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