Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 6 - Logarithmic Functions - 6.4 Properties of Logarithms - 6.4 Exercises - Page 516: 37

Answer

$= \log_3 \frac{ab^{2}}{c^{5}}$

Work Step by Step

$= \log_3 a + 2 \log_3 b - 5 \log_3 c$ $= \log_3 a + \log_3 b^{2} - 5 \log_3 c$ $= \log_3 ab^{2} - 5 \log_3 c$ $= \log_3 ab^{2} - \log_3 c^{5}$ $= \log_3 \frac{ab^{2}}{c^{5}}$
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