What is log_{3}((27)/(sqrt(x+9))) ?

The solution to log_{3}((27)/(sqrt(x+9))) is 3-log_{3}(sqrt(x+9))

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simplify log_{3}((27)/(sqrt(x+9)))

simplify

lo g_{3} (\frac{27}{x + 9})

3 - lo g_{3} (x + 9)

Solution steps

lo g_{3} (\frac{27}{x + 9})

Apply log rule:

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

lo g_{3} (\frac{27}{x + 9}) = lo g_{3} (27) - lo g_{3} (x + 9)

= lo g_{3} (27) - lo g_{3} (x + 9)

lo g_{3} (27) = 3

= 3 - lo g_{3} (x + 9)

lo g_{5} (x y)

lo g_{5} (\frac{25 a ^{5} b ^{8}}{c d})

ln (\frac{3 x}{x ^{2} + 4})

lo g_{b} (x) + 3 lo g_{b} (y) - \frac{1}{2} lo g_{b} (z)

ln (e (x + 9))

What is log_{3}((27)/(sqrt(x+9))) ?
The solution to log_{3}((27)/(sqrt(x+9))) is 3-log_{3}(sqrt(x+9))