Answer
$8$
Work Step by Step
First, we simplify $\log_{2}8$ by recognizing that $8=2^{3}$:
$\log_{2}8=\log_{2}2^{3}$
Apply the rule
$\log_{b}\left( b^{x} \right)=x$
We get:
$\log_{2}8=3$
So,
$2^{\log_{2}8}=2^{3}=8$
Finite Math and Applied Calculus (6th Edition)
by Waner, Stefan; Costenoble, Steven
Published by
Brooks Cole
ISBN 10:
1133607705
ISBN 13:
978-1-13360-770-0
Chapter 9 - Section 9.3 - Logarithmic Functions and Models - Exercises - Page 660: 77
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