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: 19



Work Step by Step

Since $\log(a/b)=\log(a)-\log(b)$, the expression can be simplified to $\log(x^2+1)-\log(x^3)$. The $\log(x^2+1)$ cannot be simplified but $\log(x^3)$ can be simplified using the fact that $\log a^b=b\log a$. Thus, the expression simplifies to $\log(x^2+1)-3\log(x)$
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