What is log_{3}((\sqrt[3]{x})/(81)) ?

The solution to log_{3}((\sqrt[3]{x})/(81)) is log_{3}(\sqrt[3]{x})-4

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simplify log_{3}((\sqrt[3]{x})/(81))

simplify

Solution steps

Apply log rule:

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

lo g_{3} (81) = 4

ln (\frac{1}{121 k})

- lo g_{10} (1.8 \cdot 1 0^{- 5}) + lo g_{10} (\frac{0.4}{1})

lo g_{5} (\frac{x}{y})

lo g_{10} (x yz)

ln (\frac{1849.39}{1500})

What is log_{3}((\sqrt[3]{x})/(81)) ?
The solution to log_{3}((\sqrt[3]{x})/(81)) is log_{3}(\sqrt[3]{x})-4