Answer
$x=5$
Work Step by Step
$\log_{2}(x^{2}-1) - \log_{2}(x+1)=2$
$\log_{2}\frac{x^{2} - 1}{x+1}=2$
$x^{2} -1=2^{2}(x+1)$
$x^{2} - 4x - 5=0$
$x=5$
Calculus with Applications (10th Edition)
by Lial, Margaret L.; Greenwell, Raymond N.; Ritchey, Nathan P.
Published by
Pearson
ISBN 10:
0321749006
ISBN 13:
978-0-32174-900-0
Chapter 2 - Nonlinear Functions - 2.5 Logarithmic Functions - 2.5 Exercises - Page 98: 53
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