Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises - Page 359: 33

Answer

$\log_3 2$ +$\log_3 x$ - $\log_3 y$

Work Step by Step

$Expand$ $the$ $expression$: $\log_3 \frac{2x}{y}$ Apply the Third Law of Logarithms $\log_3 \frac{2x}{y}$ = $\log_3 2x$ - $\log_3 y$ Apply the First Law of Logarithms to $\log_3 2x$ $\log_3 (2\times x )$ = $\log_3 2$ +$\log_3 x$ $\log_3 2x$ - $\log_3 y$ = $\log_3 2$ +$\log_3 x$ - $\log_3 y$
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.