Answer
$x=3$ or $x=-2$
Work Step by Step
$\log_{2}(x^{2}-x-2)=2$
$2^2=x^{2}-x-2$
$x^{2}-x-2=4$
$x^{2}-x-6=0$
$(x-3)(x+2)=0$
$(x-3)=0$ or $(x+2)=0$
$x=3$ or $x=-2$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 4, Exponential and Logarithmic Functions - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 404: 62
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