What is expand ln(\sqrt[3]{(ex)/(yz)}) ?

The solution to expand ln(\sqrt[3]{(ex)/(yz)}) is 1/3 ln((ex)/(yz))

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expand ln(\sqrt[3]{(ex)/(yz)})

expand

\frac{1}{3} ln (\frac{e x}{yz})

Solution steps

Rewrite as

= ln ((\frac{e x}{yz})^{\frac{1}{3}})

Apply log rule

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

assuming

x \geq 0

= \frac{1}{3} ln (\frac{e x}{yz})

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What is expand ln(\sqrt[3]{(ex)/(yz)}) ?
The solution to expand ln(\sqrt[3]{(ex)/(yz)}) is 1/3 ln((ex)/(yz))