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

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

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

simplify

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

lo g_{3} (y) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{3} (27) = 3

= lo g_{3} (y) - 3

lo g_{6} (\frac{q}{12})

lo g_{e} (3 e)

ln (\frac{2}{10})

lo g_{\frac{1}{3}} (x) + lo g_{\frac{1}{3}} (x + 2)

ln (x^{8} - 1) - ln (x^{3} - 1)

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