Answer
$1$
Work Step by Step
Using $\log_b b=1$ and $\log_bx^y=y\log_bx$, the given expression, $
\log_3(\log_5 125)
,$ simplifies to
\begin{array}{l}\require{cancel}
\log_3(\log_5 5^3)
\\\\=
\log_3(3\cdot1)
\\\\=
\log_33
\\\\=
1
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 9 - Section 9.5 - Logarithmic Functions - Exercise Set - Page 573: 99
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.
