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

$\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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