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: 22



Work Step by Step

$x^2-y^2$ can be factored as $(x+y)(x-y)$ (FOIL the expression out to verify if needed). Therefore, the expression becomes $\log((x+y)(x-y))$. Since $\log(ab)=\log(a)+\log(b)$, the expression can be simplified to $\log(x-y)+\log(x+y)$.
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