Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 9 - Cumulative Review Exercises - Page 1038: 7



Work Step by Step

Step 1. Using the logarithm properties, we have $log_2[(x+1)(x-1)]=3$ which gives $x^2-1=2^3$ Step 2. Solving the equation, we have $x^2=9$ or $x=\pm3$ Step 3. Check the answers; we find only $x=3$ fits the original equation, while $x=-3$ is not in the domain.
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