What is expand log_{10}(\sqrt[3]{u}) ?

The solution to expand log_{10}(\sqrt[3]{u}) is 1/3 log_{10}(u)

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expand log_{10}(\sqrt[3]{u})

expand

\frac{1}{3} lo g_{10} (u)

Solution steps

Rewrite as

= lo g_{10} (u^{\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} (u)

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(cos (\frac{x}{2}) - sin (\frac{x}{2}))^{2}

What is expand log_{10}(\sqrt[3]{u}) ?
The solution to expand log_{10}(\sqrt[3]{u}) is 1/3 log_{10}(u)