Answer
$x=8$
Work Step by Step
$2^{x+1}=2^{9}$
... $b^{m}=b^{n}$ is equivalent to $m=n$ (principle of exponential equality)
so
$x+1=9$
$x=8$
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 - Connecting: The Concepts - Exercises - Page 824: 2
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