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: 18

Answer

$= 2+ 5\log_2 a + 2\log_2 b - 3\log_2 c$

Work Step by Step

$= \log_2 (\frac{4a^{5}b^{2}}{c^{3}})$ $= \log_2 (4a^{5}b^{2}) - \log_2 c^{3}$ $= \log_2 4 + \log_2 a^{5} + \log_2 b^{2} - \log_2 c^{3}$ $= \log_2 2^{2} + 5\log_2 a + 2\log_2 b - 3\log_2 c$ $= 2+ 5\log_2 a + 2\log_2 b - 3\log_2 c$
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