Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Section 12.6 - Properties of Logarithms - Exercise Set: 38



Work Step by Step

$5\log_{6}x-\dfrac{3}{4}\log_{6}x+3\log_{6}x$ Take the numbers multiplying in front of each $\log$ as exponents: $\log_{6}x^{5}-\log_{6}x^{3/4}+\log_{6}x^{3}=...$ Combine $\log_{6}x^{5}-\log_{6}x^{3/4}$ as the $\log$ of a division: $...=\log_{6}\dfrac{x^{5}}{x^{3/4}}+\log_{6}x^{3}=...$ Combine $\log_{6}\dfrac{x^{5}}{x^{3/4}}+\log_{6}x^{3}$ as the $\log$ of a product and simplify: $...=\log_{6}\dfrac{x^{5}\cdot x^{3}}{x^{3/4}}=\log_{6}\dfrac{x^{8}}{x^{3/4}}=\log_{6}x^{29/4}$
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.