What is log_{3}((27)/(sqrt(x+2))) ?

The solution to log_{3}((27)/(sqrt(x+2))) is 3-log_{3}(sqrt(x+2))

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simplify log_{3}((27)/(sqrt(x+2)))

simplify

lo g_{3} (\frac{27}{x + 2})

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

Solution steps

lo g_{3} (\frac{27}{x + 2})

Apply log rule:

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

lo g_{3} (\frac{27}{x + 2}) = lo g_{3} (27) - lo g_{3} (x + 2)

= lo g_{3} (27) - lo g_{3} (x + 2)

lo g_{3} (27) = 3

= 3 - lo g_{3} (x + 2)

ln (5) + 5 ln (3)

\frac{1}{2} (lo g_{5} (x^{6}) + lo g_{5} (x^{3}))

lo g_{a} (\frac{x ^{7}}{y z ^{8}})

lo g_{7} ((5) (c))

What is log_{3}((27)/(sqrt(x+2))) ?
The solution to log_{3}((27)/(sqrt(x+2))) is 3-log_{3}(sqrt(x+2))