Precalculus (6th Edition)

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

Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.4 Evaluation Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 457: 44

Answer

$ 4.3979$, see explanations.

Work Step by Step

$log(25000)\approx4.3979$ that is multiplying a number by 10 will result an increase of exactly 1 to its common logarithm value. $b=10a, log(b)=log(10a)=log(a) + 1$
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.