What is log_{3}(x^6*\sqrt[3]{y^8}) ?

The solution to log_{3}(x^6*\sqrt[3]{y^8}) is 6log_{3}(x)+2log_{3}(y)+log_{3}(\sqrt[3]{y^2})

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simplify log_{3}(x^6*\sqrt[3]{y^8})

simplify

Solution steps

Simplify

Apply log rule:

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

lo g_{3} (x^{6}) = 6 lo g_{3} (x)

lo g_{3} (y^{2}) = 2 lo g_{3} (y)

lo g_{b} (\frac{a y ^{5}}{m ^{3} n ^{4}})

lo g_{10} (x^{2}) + lo g_{10} (x^{3})

\frac{1}{3} lo g_{10} (3)

lo g_{10} (z^{3} y)

What is log_{3}(x^6*\sqrt[3]{y^8}) ?
The solution to log_{3}(x^6*\sqrt[3]{y^8}) is 6log_{3}(x)+2log_{3}(y)+log_{3}(\sqrt[3]{y^2})