Answer
$\frac{1}{2}ln(a-1)$
Work Step by Step
First, use the fact that $\sqrt x=x^{\frac{1}{2}}$ to change the logarithm to $ln((a-1)^{\frac{1}{2}})$ Then, use the rule that $log(x^{n})=nlog(x)$ to expand the logarithm into $\frac{1}{2}ln(a-1)$.
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.1 Exercises - Page 325: 24
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