Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 5 - 5.3 - Properties of Logarithms - 5.3 Exercises - Page 387: 102


The Product Property was misused.

Work Step by Step

We need to correct the use of the Product Property: $\log_216=\log_2(4·4)=\log_24+\log_24=\log_22^2+\log_22^2=2+2=4$ But we should have: $\log_28=\log_2(2·4)=\log_22+\log_24=\log_22+\log_2^2=1+2=3$ We should have used the Power Property as follows: $\log_28=\log_22^3=3\log_22=3(1)=3$
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