What is expand ln(\sqrt[3]{x/y}) ?

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

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expand ln(\sqrt[3]{x/y})

expand

\frac{1}{3} ln (\frac{x}{y})

Solution steps

Rewrite as

= ln ((\frac{x}{y})^{\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{x}{y})

\frac{( 1 + x ) y}{x}

\frac{245 π ^{2} + 14 π}{2 ( 35 π + 2 )}

2 (3 + 1)

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

(200 - \frac{x}{30}) x

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