Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 331: 45


$2\log_a{u} + 3 \log_a{v}$

Work Step by Step

Recall: $\log_a{(MN)} = \log_a{M}+\log_a{N}$ Using the rule above gives: $\log_a (u^2 v^3) = \log_a{\left(u^2\right)} + \log_a{\left(v^3\right)}$ With $\log_a M^r = r \log_a M$, then the equation above simplifies to: $\log_a (u^2 v^3) = \boxed{2\log_a u + 3 \log_a v}$
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.