Answer
False.
Work Step by Step
Please note that we have the following identity:$$\log_bMN=\log_bM+\log_bN$$So we have$$3\log_bx+3\log_by=3(\log_bx+\log_by)=3\log_b(xy)= \\ \log_b(xy)^3 \neq \log_b(x^3+y^3)$$(since $(xy)^3 \neq x^3+y^3$).
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 477: 127
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.
