College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Section 4.4 - Laws of Logarithms - 4.4 Exercises: 37

Answer

$\frac{1}{2}+\frac{5}{2}\log_{3}x-\log_{3}y$

Work Step by Step

$\log_{3}\frac{\sqrt{3x^{5}}}{y}=\log_{3}\sqrt{3x^{5}}-\log_{3}y=\frac{1}{2}\log_{3}3x^{5}-\log_{3}y=\frac{1}{2}\log_{3}3+\frac{1}{2}\log_{3}x^{5}-\log_{3}y=\frac{1}{2}+\frac{5}{2}\log_{3}x-\log_{3}y$
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