Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.3 Logarithmic Functions - 12.3 Exercise Set - Page 803: 13

Answer

$3$

Work Step by Step

Using $\log_bx^m=m\log_bx$ or the Power Rule of Logarithms, the given expression, $ \log_{10}1000 ,$ is \begin{array}{l}\require{cancel} \log_{10}10^3 \\\\= 3\log_{10}10 .\end{array} Since the $\log_bb=1,$ then the expression, $ 3\log_{10}10 ,$ simplifies to \begin{array}{l}\require{cancel} 3(1) \\\\= 3 .\end{array}
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.