What is expand log_{10}(\sqrt[3]{x^2+y^4}) ?

The solution to expand log_{10}(\sqrt[3]{x^2+y^4}) is 1/3 log_{10}(x^2+y^4)

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expand log_{10}(\sqrt[3]{x^2+y^4})

expand

\frac{1}{3} lo g_{10} (x^{2} + y^{4})

Solution steps

Rewrite as

= lo g_{10} ((x^{2} + y^{4})^{\frac{1}{3}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{3} lo g_{10} (x^{2} + y^{4})

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What is expand log_{10}(\sqrt[3]{x^2+y^4}) ?
The solution to expand log_{10}(\sqrt[3]{x^2+y^4}) is 1/3 log_{10}(x^2+y^4)