Answer
$-2$
Work Step by Step
Since $\frac{25}{16}=(\frac{5}{4})^2=(\frac{4}{5})^{-2}$, we have $x=log_{4/5}(\frac{25}{16})=log_{4/5}(\frac{4}{5})^{-2}=-2$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Summary Exercises on Inverse, Exponential, and Logarithmic Functions - Exercises - Page 449: 38
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.
