Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises: 45

Answer

$\frac{1}{4}$$\log (x^2+y^2)$

Work Step by Step

$Expand$ $the$ $expression$: $\log \sqrt[4]{x^2+y^2}$ Rewrite the fourth root $\log (x^2+y^2)^\frac{1}{4}$ Apply the Third Law of Logarithms $\log (x^2+y^2)^\frac{1}{4}$ = $\frac{1}{4}$$\log (x^2+y^2)$ You cannot take out the squares on x and y since x and y are being added $\frac{1}{4}$$\log (x^2+y^2)$
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