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: 18



Work Step by Step

Use the Quotient Property, the Product Property and the Power Property. Also remember that $\log_aa=1$: $\log_3\frac{45}{49}=\log_345-\log_349=\log_3(3^2·5)-\log_37^2=\log_33^2+\log_35-2\log_37=2\log_33+\log_35-2\log_37=2(1)+\log_35-2\log_37=2+\log_35-2\log_37$
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