Answer
$\{2,4\}$.
Work Step by Step
As $125=5^3$, we have $5^{x^2+8}=(5^3)^{2x}$ or $5^{x^2+8}=5^{6x}$. Thus we have $x^2+8=6x$ or $x^2-6x+8=0$. This gives $x=2,4$ or $\{2,4\}$. Checking answers, they are both good.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.3 One-to-One Functions; Inverse Functions - 5.3 Assess Your Understanding - Page 282: 76
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
