Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 5 - Logarithmic Functions - Exercises to Skills for Chapter 5 - Page 232: 20



Work Step by Step

First, use the fact that $\ln a^b=b \ln a$ and $\sqrt{a}=a^{\frac{1}{2}}$ to simplify the expression to $\frac{1}{2} \ln{\frac{x-1}{x+1}}.$ Since $\log(a/b)=\log(a)-\log(b)$, the expression can be simplified to $\frac{1}{2}(\ln(x-1)-\ln(x+1))$.
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