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Popular >

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

Solution

simplify

Solution

\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})

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Frequently Asked Questions (FAQ)

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