Answer
$\dfrac {1}{5}$
Work Step by Step
$27^{4x}=9^{x+1}\Rightarrow \left( 3^{3}\right) ^{4x}=\left( 3^{2}\right) ^{x+1}\Rightarrow 3^{12x}=3^{2x+2}\Rightarrow 12x=2x+2\Rightarrow 10x=2\Rightarrow x=\dfrac {2}{10}=\dfrac {1}{5}$
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 - 4.2 Exponential Functions - 4.2 Exercises - Page 432: 79
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.
