Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 7 - Exponential and Logarithmic Functions - 7-3 Logarithmic Functions as Inverses - Practice and Problem-Solving Exercises: 17

Answer

$\log_{\frac{1}{2}}{4}=-2$

Work Step by Step

RECALL: $y=a^b \longleftrightarrow \log_a{y}=b$ Use the definition above to have $4 = \left(\frac{1}{2}\right)^{-2} \longleftrightarrow \log_{\frac{1}{2}}{4}=-2.$
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.