What is expand log_{10}(\sqrt[3]{x/z}) ?

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

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expand log_{10}(\sqrt[3]{x/z})

expand

lo g_{10} (3 \frac{x}{z})

\frac{1}{3} lo g_{10} (\frac{x}{z})

Solution steps

lo g_{10} (3 \frac{x}{z})

Rewrite as

= lo g_{10} ((\frac{x}{z})^{\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} (\frac{x}{z})

(x + \frac{2}{5}) (12 x^{2} - 12 x^{3})

e^{t} (e^{- t} t - 2 e^{- t})

\frac{150}{( 20 + 10 )}

(y + x^{2} - y^{2}) d x + x d y

2 (x - \frac{3}{4})^{2} + \frac{41}{16}

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