College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Exercises: 89

Answer

$\log_{4}258\gt \log_{5}620$

Work Step by Step

We find a number near $258$ that it is easier to take $\log_{4}$ of: $\log_{4}258\gt \log_{4}256$ $\log_{4}258\gt \log_{4}4^{4}$ $\log_{4}258\gt 4$ Next, we find a number near $620$ that it is easier to take $\log_{5}$ of: $\log_{5}620\lt \log_{5}625$ $\log_{5}620\lt \log_{5}5^{4}$ $\log_{5}620\lt 4$ Therefore: $\log_{4}258\gt \log_{5}620$
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.