What is log_{3}(x^2\sqrt[3]{y^5}) ?

The solution to log_{3}(x^2\sqrt[3]{y^5}) is 2log_{3}(x)+log_{3}(y)+log_{3}(\sqrt[3]{y^2})

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simplify log_{3}(x^2\sqrt[3]{y^5})

simplify

Solution steps

Simplify

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

Simplify

lo g_{3} (x^{2}) : 2 lo g_{3} (x)

ln (200 \cdot b^{x})

lo g_{10} (10000 x^{4} y^{6})

lo g_{x} (\frac{x}{64})

lo g_{b} (\frac{x y ^{4}}{z ^{4}})

What is log_{3}(x^2\sqrt[3]{y^5}) ?
The solution to log_{3}(x^2\sqrt[3]{y^5}) is 2log_{3}(x)+log_{3}(y)+log_{3}(\sqrt[3]{y^2})