What is log_{3}((\sqrt[3]{4})/(x^2y)) ?

The solution to log_{3}((\sqrt[3]{4})/(x^2y)) is log_{3}(\sqrt[3]{4})-2log_{3}(x)-log_{3}(y)

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simplify log_{3}((\sqrt[3]{4})/(x^2y))

simplify

Solution steps

Apply log rule:

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

Simplify

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

Apply the distributive law:

- (a + b) = - a - b

- (2 lo g_{3} (x) + lo g_{3} (y)) = - 2 lo g_{3} (x) - lo g_{3} (y)

lo g_{2} (64 p)

ln (\frac{11}{6})

lo g_{10} (\frac{x a ^{2}}{y ^{7}})

lo g_{2} (\frac{a ^{2} - 4}{7})

What is log_{3}((\sqrt[3]{4})/(x^2y)) ?
The solution to log_{3}((\sqrt[3]{4})/(x^2y)) is log_{3}(\sqrt[3]{4})-2log_{3}(x)-log_{3}(y)