Answer
$x=-2$
Work Step by Step
$30\cdot5^{x+3}=150\implies 5^{x+3}=\frac{150}{30}$
Or $5^{x+3}=5$.
For the above equality to hold, the exponents must be equal.
$\implies x+3=1$
$\implies x=1-3=-2$
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: 37
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