Precalculus (6th Edition) Blitzer

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: 128

Answer

False.

Work Step by Step

Please note that we have the following identity:$$\log_bMN=\log_bM+\log_bN$$So we have$$\log_b(xy)^5=5 \log_b(xy)= 5(\log_bx+\log_by) \neq (\log_bx+ \log_by)^5$$
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