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 385: 17

Answer

$\log_3\frac{21}{5}=1+\log_37-\log_35$

Work Step by Step

Use the Quotient Property and the Product Property. Also remember that $\log_aa=1$: $\log_3\frac{21}{5}=\log_321-\log_35=\log_3(3·7)-\log_35=\log_33+\log_37-\log_35=1+\log_37-\log_35$
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