Answer
99
Work Step by Step
$\log_2 8^{33}$
Apply the Third Law of Logarithms
33$\log_2 8$
33$\log_2 2^3$
Apply the Third Law of Logarithms again
33$\times$3$\times$$\log_2 2$
33$\times$3$\times$1 ($\log_x x$ = 1)
=99
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises - Page 359: 20
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