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

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

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simplify log_{3}((27)/(sqrt(x+3)))

simplify

lo g_{3} (\frac{27}{x + 3})

3 - lo g_{3} (x + 3)

Solution steps

lo g_{3} (\frac{27}{x + 3})

Apply log rule:

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

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

= lo g_{3} (27) - lo g_{3} (x + 3)

lo g_{3} (27) = 3

= 3 - lo g_{3} (x + 3)

lo g_{b} (x^{4})

ln (35 a) - ln (7)

\frac{1}{5} ln (\frac{227}{377})

2 lo g_{10} (x) - 2 lo g_{10} (y)

lo g_{4} (\frac{64}{x - 8})

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