Answer
$1$
Work Step by Step
RECALL:
If $a^M=a^N$, then $M=N$.
Write 27 as a power of 3 to obtain
$3^{2x+1}=3^3.$
Use the rule above to obtain
$2x+1=3
\\2x=3-1
\\2x=2
\\x=\frac{2}{2}
\\x=1.$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set - Page 488: 6
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