College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 4 - Section 4.4 - Evaluating Logarithms and the Change-of-Base Theorem - 4.4 Exercises - Page 434: 27


The Product Rule of Logarithms shows that the two expressions are the same.

Work Step by Step

Using the Product Rule of Logarithms, which is given by $\log_b (xy)=\log_bx+\log_by,$ the given expression, $ \log387+\log23 ,$ is equivalent \begin{array}{l}\require{cancel} \log(387\times23) .\end{array} Hence, the answers for Exercise 23 and Exercise 19 are the same.
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