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 - Chapter Review Exercises: 24

Answer

$= \frac{1}{2}\log_3 5 + \frac{1}{2}\log_3 a + \log_3 b + \frac{3}{2}\log_3 c$

Work Step by Step

$\log_3 (\sqrt {5ab^{2}c^{3}})$ $= \log_3 (5ab^{2}c^{3})^{\frac{1}{2}}$ $= \frac{1}{2}\log_3 (5ab^{2}c^{3})$ $= \frac{1}{2}\log_3 5 + \frac{1}{2}\log_3 a + \frac{1}{2}\log_3 b^{2} + \frac{1}{2}\log_3 c^{3}$ $= \frac{1}{2}\log_3 5 + \frac{1}{2}\log_3 a + \log_3 b + \frac{3}{2}\log_3 c$
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