Answer
$x=\dfrac{4}{3}\approx 1.33$
Work Step by Step
In order to solve $2^{3x}=16$ we will use the principle of exponential equality. We know that $16=2^4$.
$$2^{3x}=2^4$$
or
$$3x=4$$
$$x=\dfrac{4}{3}\approx 1.33$$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - Study Summary - Practice Exercises - Page 842: 12
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