Answer
$x=401.429$
Work Step by Step
$\ln\sqrt {x+2}=3$
$e^{\ln\sqrt {x+2}}=e^3$
$\sqrt {x+2}=e^3~~$ (Square both sides):
$x+2=e^6$
$x=e^6-2=401.429$
Check the solution:
$\ln\sqrt {e^6-2+2}=3$
$\ln\sqrt {e^6}=3$
$\ln e^3=3$
$3=3$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 5 - Cumulative Test for Chapters 3-5 - Page 417: 36
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