Answer
$x=-\frac{7}{2}$
Work Step by Step
$\sqrt {5}=5^{x+4}$
This can be written as
$5^{1/2}=5^{x+4}$
Equating the exponents, we obtain
$\frac{1}{2}=x+4$
Subtracting $4$ from both sides, we get
$\frac{1}{2}-4=x$ or $x=-\frac{7}{2}$
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: 54
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