What is log_{3}((a*b^3)/(c*\sqrt[3]{a^2)}) ?

The solution to log_{3}((a*b^3)/(c*\sqrt[3]{a^2)}) is log_{3}(\sqrt[3]{a})+3log_{3}(b)-log_{3}(c)

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simplify log_{3}((ab^3)/(c\sqrt[3]{a^2)})

simplify

Solution steps

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Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

Simplify

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- lo g_{10} (4.1 \cdot 1 0^{- 4})

3 lo g_{5} (x) - 18 lo g_{5} (y)

lo g_{5} (\frac{25}{x + 8})

What is log_{3}((a*b^3)/(c*\sqrt[3]{a^2)}) ?
The solution to log_{3}((a*b^3)/(c*\sqrt[3]{a^2)}) is log_{3}(\sqrt[3]{a})+3log_{3}(b)-log_{3}(c)