Answer
$x=\pm 625$
Work Step by Step
Apply the definition ( If $\log_{5}A=B$ then $5^{B}=A)$
$|x|=5^{4}$
$|x|=625$
$x=\pm 625$
The initial equation is defined for both $625$ and $-625$, so both are valid solutions.
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - 12.6 Solving Exponential Equations and Logarithmic Equations - 12.6 Exercise Set - Page 826: 85
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.
