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: 70

Answer

$x=-4$

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: $x=-1-3 \\x=-4$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.