What is expand ln(\sqrt[4]{z/(xy)}) ?

The solution to expand ln(\sqrt[4]{z/(xy)}) is 1/4 ln(z/(xy))

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expand ln(\sqrt[4]{z/(xy)})

expand

\frac{1}{4} ln (\frac{z}{x y})

Solution steps

Rewrite as

= ln ((\frac{z}{x y})^{\frac{1}{4}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{4} ln (\frac{z}{x y})

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What is expand ln(\sqrt[4]{z/(xy)}) ?
The solution to expand ln(\sqrt[4]{z/(xy)}) is 1/4 ln(z/(xy))