Answer
$x=1$
Work Step by Step
Given: $5^{2x}+20.5^x-125=0\\(5^x+25)(5^x-5)=0$
We have $5^x+25=0\\5^x=-25$
This gives no real solution.
and $5^x-5=0\\5^x=5\\x=1$
Check: $5^{2(1)}+20.5^1-125=0\\0=0$
Hence, the only real solution is $x=1$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 7 Exponential and Logarithmic Functions - 7.6 Solve Exponential and Logarithmic Equations - 7.6 Exercises - Skill Practice - Page 520: 53
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.
