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: 21

Answer

$2\log_b{x} + \log_b{y}$

Work Step by Step

RECALL: (1) $\log_b{(MN)} = \log_b{M} + \log_b{N}$ (2) $\log_b{(\frac{M}{N})} = \log_b{M} - \log_b{N}$ (3) $\log_b{(b^x)}=x$ (4) $\log_b{(a^n)} = n \cdot \log_b{a}$ Use rule (1) above to obtain $=\log_b{x^2}+\log_b{y}$ Use rule (4) above to obtain: $=2\log_b{x} + \log_b{y}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.