Algebra and Trigonometry 10th Edition

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



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: $\ln\sqrt {e^6-2+2}=3$ $\ln\sqrt {e^6}=3$ $\ln e^3=3$ $3=3$
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