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

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

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

simplify

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

lo g_{3} (c) - 3

Solution steps

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

Apply log rule:

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

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

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

lo g_{3} (27) = 3

= lo g_{3} (c) - 3

lo g_{10} (3) + 2 lo g_{10} (x)

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

3 lo g_{10} (x) + 2 lo g_{10} (y) - 5 lo g_{10} (z)

2 ln (3) - ln (2)

2 ln (3) - ln (5)

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