What is log_{3}((\sqrt[7]{17})/(s^2r)) ?

The solution to log_{3}((\sqrt[7]{17})/(s^2r)) is log_{3}(\sqrt[7]{17})-2log_{3}(s)-log_{3}(r)

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simplify log_{3}((\sqrt[7]{17})/(s^2r))

simplify

Solution steps

Apply log rule:

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

Simplify

lo g_{3} (s^{2} r) : 2 lo g_{3} (s) + lo g_{3} (r)

Apply the distributive law:

- (a + b) = - a - b

- (2 lo g_{3} (s) + lo g_{3} (r)) = - 2 lo g_{3} (s) - lo g_{3} (r)

1 - lo g_{2} (\frac{k - 1}{k})

ln (\frac{1}{v})

lo g_{4} (2 x + 1) - lo g_{4} (3 y + 4)

ln (\frac{1}{2 e})

lo g_{7} (2 x - 5) + lo g_{7} (5)

What is log_{3}((\sqrt[7]{17})/(s^2r)) ?
The solution to log_{3}((\sqrt[7]{17})/(s^2r)) is log_{3}(\sqrt[7]{17})-2log_{3}(s)-log_{3}(r)