Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.4 - Exponential and Logarithmic Equations - Exercise Set: 9

Answer

$x=\frac{3}{5}$

Work Step by Step

RECALL: (i) If $a^M=a^N$, then $M=N.$ (ii) $(a^m)^n=a^{mn}$ Write 32 and 8 as powers of 2: $32^{x}=8 \\(2^5)^x=2^3.$ Use rule (ii) above to obtain $2^{5x}=2^3.$ Use rule (i) above to obtain $5x=3 \\x=\frac{3}{5}.$
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.