College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.3 - Exponential Functions - 6.3 Assess Your Understanding - Page 436: 70



Work Step by Step

To solve the given equation, make the two sides have the same base. Note that $\frac{1}{5} = 5^{-1}$ so the given equation is equivalent to: $5^{x+3} = 5^{-1}$ Use the rule $a^m=a^n \longrightarrow m=n$ to obtain: $x+3 = -1$ Subtract 3 to both sides of the equation to obtain: $x=-1-3 \\x=-4$
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