What is log_{3}((sqrt(f))/(27)) ?

The solution to log_{3}((sqrt(f))/(27)) is log_{3}(sqrt(f))-3

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simplify log_{3}((sqrt(f))/(27))

simplify

lo g_{3} (\frac{f}{27})

lo g_{3} (f) - 3

Solution steps

lo g_{3} (\frac{f}{27})

Apply log rule:

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

lo g_{3} (\frac{f}{27}) = lo g_{3} (f) - lo g_{3} (27)

= lo g_{3} (f) - lo g_{3} (27)

lo g_{3} (27) = 3

= lo g_{3} (f) - 3

lo g_{\frac{1}{2}} (\frac{7}{x ^{2}})

lo g_{10} (x y) + lo g_{10} (\frac{y}{x})

ln (14) - ln (2)

- lo g_{10} (1.2 \cdot 1 0^{- 4})

lo g_{3} (z) + lo g_{3} (z + 2)

What is log_{3}((sqrt(f))/(27)) ?
The solution to log_{3}((sqrt(f))/(27)) is log_{3}(sqrt(f))-3