Answer
$log_4\frac{x-1}{(x+1)^4}$
Work Step by Step
$log_4(x^2-1)-5log_4(x+1)=log_4((x+1)(x-1))-log_4(x+1)^5=log_4\frac{(x+1)(x-1)}{(x+1)^5}=log_4\frac{x-1}{(x+1)^4}$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.5 Properties of Logarithms - 5.5 Assess Your Understanding - Page 305: 61
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