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: 9

Answer

$ - \log_3 2 + \log_3 a+ 2\log_3 b+ 3\log_3 c$

Work Step by Step

$ \log_3 (\frac{1}{2}ab^{2}c^{3})$ $= \log_3 (\frac{1}{2}) + \log_3 a+ \log_3 b^{2}+ \log_3 c^{3}$ $= \log_3 1 - \log_3 2 + \log_3 a+ \log_3 b^{2}+ \log_3 c^{3}$ $= 0 - \log_3 2 + \log_3 a+ 2\log_3 b+ 3\log_3 c$ $= - \log_3 2 + \log_3 a+ 2\log_3 b+ 3\log_3 c$
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