What is log_{3}(9/(sqrt(x+2))) ?

The solution to log_{3}(9/(sqrt(x+2))) is 2-log_{3}(sqrt(x+2))

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simplify log_{3}(9/(sqrt(x+2)))

simplify

lo g_{3} (\frac{9}{x + 2})

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

Solution steps

lo g_{3} (\frac{9}{x + 2})

Apply log rule:

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

lo g_{3} (\frac{9}{x + 2}) = lo g_{3} (9) - lo g_{3} (x + 2)

= lo g_{3} (9) - lo g_{3} (x + 2)

lo g_{3} (9) = 2

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

lo g_{10} (2) 3

5 lo g_{10} (x) + 3 lo g_{10} (y) - 6 lo g_{10} (z)

lo g_{10} (\frac{7}{x})

ln (\frac{e ^{- y} y ^{x}}{x !})

lo g_{c} (m) - lo g_{c} (n) - lo g_{c} (z)

What is log_{3}(9/(sqrt(x+2))) ?
The solution to log_{3}(9/(sqrt(x+2))) is 2-log_{3}(sqrt(x+2))