What is ln(x^5\sqrt[3]{y}) ?

The solution to ln(x^5\sqrt[3]{y}) is 5ln(x)+ln(\sqrt[3]{y})

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simplify ln(x^5\sqrt[3]{y})

simplify

Solution steps

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

Apply log rule:

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

ln (x^{5}) = 5 ln (x)

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What is ln(x^5\sqrt[3]{y}) ?
The solution to ln(x^5\sqrt[3]{y}) is 5ln(x)+ln(\sqrt[3]{y})