Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises: 32

$\log_3 x$ + $\frac{1}{2}$$\log_3 y Work Step by Step Expand the expression: \log_3 (x \sqrt{y}) Rewrite the root for y \log_3 (xy^\frac{1}{2}) Apply the First Law of Logarithms \log_3 (x\times y^\frac{1}{2}) = \log_3 x + \log_3 y^\frac{1}{2} Apply the Third Law of Logarithms for \log_3 y^\frac{1}{2} \log_3 y^\frac{1}{2} = \frac{1}{2}$$\log_3 y$ $\log_3 x$ + $\log_3 y^\frac{1}{2}$ = $\log_3 x$ + $\frac{1}{2}$$\log_3 y$

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