Answer
$x=2$
Work Step by Step
Use the definition of the log function to simplify $\log_381$ to $4$. Then solve for $x$.
$\log_2(\log_381)$
$2^x=\log_381$
$\log_381=y$
$3^y=81$
$81=3^4$
$y=4$
$2^x=4$
$x=2$
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.2 - Page 467: 107
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.
