College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 4 - Exponential and Logarithmic Functions - Exercise Set 4.3: 34

Answer

$= \frac{1}{3} log_b(x) + 4log_b(y) - 5log_b(z)$

Work Step by Step

$= log_b(\frac{\sqrt[3] xy^{4}}{z^{5}})$ $= log_b({\sqrt[3] xy^{4}}) - log_b(z^{5})$ $= log_b(x^{\frac{1}{3}} y^{4}) - log_b(z^{5})$ $= log_b(x^{\frac{1}{3}}) + log_b(y^{4}) - log_b(z^{5})$ $= \frac{1}{3} log_b(x) + 4log_b(y) - 5log_b(z)$
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.