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

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

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

simplify

Solution steps

Apply log rule:

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

Simplify

lo g_{3} (a^{3}) : 3 lo g_{3} (a)

lo g_{r} (11 x)

ln (x) + ln (y) + ln (z)

- \frac{8}{13} lo g_{2} (\frac{8}{13}) - \frac{5}{13} lo g_{2} (\frac{5}{13})

lo g_{4} (\frac{x ^{2} + x - 2}{x ^{2} - x})

\frac{3}{2} ln (a) + \frac{1}{2} ln (b) - 1

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