What is expand log_{10}(\sqrt[4]{x^2+y^2}) ?

The solution to expand log_{10}(\sqrt[4]{x^2+y^2}) is 1/4 log_{10}(x^2+y^2)

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expand log_{10}(\sqrt[4]{x^2+y^2})

expand

\frac{1}{4} lo g_{10} (x^{2} + y^{2})

Solution steps

Rewrite as

= lo g_{10} ((x^{2} + y^{2})^{\frac{1}{4}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{4} lo g_{10} (x^{2} + y^{2})

(1 + 1 - x^{2})^{2}

\frac{x ^{2}}{( x - 3 ) ( x - 5 )}

5 (1 + \frac{2}{x ^{3}})

(x - 1) (x - 2)

(2 - i)^{10}

What is expand log_{10}(\sqrt[4]{x^2+y^2}) ?
The solution to expand log_{10}(\sqrt[4]{x^2+y^2}) is 1/4 log_{10}(x^2+y^2)