Answer
$x=\frac{1}{2}$
Work Step by Step
We rewrite the 2 on the right, so that the base is 4 on both sides.
$4^x=2=4^{\frac{1}{2}}$
Then we set exponents equal, because the two sides are equal only if the powers are equal too:
$x=\frac{1}{2}$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 4 - Section 4.2 - Exponential Functions - 4.2 Exercises - Page 410: 61
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.
