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

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

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

expand

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

lo g_{3} (y) - 3

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

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_{10} (\frac{27}{y})

0.935 - \frac{0.592}{2} lo g_{10} (\frac{0.2}{0. 1 ^{2}})

f (x) = ln (\frac{3 ^{x} 6 ^{3 x}}{2 ^{2 x}})

lo g_{b} (\frac{x y ^{3}}{w ^{3} z})

\frac{1}{5} ln (\frac{5}{4})

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