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: 16

Answer

$= \log 5 + 3 \log x + \log y - \log 2 - 2 \log z$

Work Step by Step

$= \log(\frac{5x^{3}y}{2z^{2}})$ $= \log (5x^{3}y) - \log (2z^{2})$ $= \log 5 + \log x^{3} + \log y - \log 2 - \log z^{2}$ $= \log 5 + 3 \log x + \log y - \log 2 - 2 \log z$
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