What is expand log_{3}(w^5\sqrt[3]{u*v}) ?

The solution to expand log_{3}(w^5\sqrt[3]{u*v}) is 5log_{3}(w)+log_{3}(\sqrt[3]{uv})

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expand log_{3}(w^5\sqrt[3]{u*v})

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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)

lo g_{3} (w^{5}) = 5 lo g_{3} (w)

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What is expand log_{3}(w^5\sqrt[3]{u*v}) ?
The solution to expand log_{3}(w^5\sqrt[3]{u*v}) is 5log_{3}(w)+log_{3}(\sqrt[3]{uv})