Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.3 - Exponential Functions - Exercise Set: 26

Answer

$x=\dfrac{1}{2}$

Work Step by Step

$9^{2x+1}=81$ Rewrite $81$ as $9^{2}$: $9^{2x+1}=9^{2}$ If $9^{2x+1}=9^{2}$, then $2x+1=2$ $2x+1=2$ Solve for $x$: $2x=2-1$ $2x=1$ $x=\dfrac{1}{2}$
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