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 - 12.4 Properties of Logarithmic Functions - 12.4 Exercise Set - Page 810: 72



Work Step by Step

Using $\log_bx^m=m\log_bx$ or the Power Rule of Logarithms, the given expression, $ \log_{Q}Q^{t} ,$ is equivalent to \begin{array}{l}\require{cancel} t\log_{Q}Q .\end{array} Since $\log_QQ=1,$ the expression, $ t\log_{Q}Q ,$ simplifies to \begin{array}{l}\require{cancel} t(1) \\\\= t .\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.