Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.3 Logarithmic Functions - 4.3 Exercises - Page 446: 77


$\dfrac {1}{2}\log _{2}5+\dfrac {3}{2}\log _{2}r-\dfrac {5}{2}\log _{2}z$

Work Step by Step

$\log _{2}\sqrt {\dfrac {5r^{3}}{z^{5}}}=\log _{2}5^{1/2}\times r^{3/2}\times z^{-5/2}=\dfrac {1}{2}\log _{2}5+\dfrac {3}{2}\log _{2}r-\dfrac {5}{2}\log _{2}z$
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.