Answer
$x=1$
Work Step by Step
$2(4^{2x+1})=128$
$\implies 4^{2x+1}=\frac{128}{2}=64$
$\implies 4^{2x+1}=4^{3}$
For the above equality to hold, the exponents must be equal.
$\implies 2x+1=3$
$\implies 2x=3-1=2$
$\implies x=\frac{2}{2}=1$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 6 - Exponential Functions and Sequences - 6.5 - Solving Exponential Equations - Exercises - Page 330: 40
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