What is log_{3}((27)/(sqrt(x+8))) ?

The solution to log_{3}((27)/(sqrt(x+8))) is 3-log_{3}(sqrt(x+8))

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simplify log_{3}((27)/(sqrt(x+8)))

simplify

lo g_{3} (\frac{27}{x + 8})

3 - lo g_{3} (x + 8)

Solution steps

lo g_{3} (\frac{27}{x + 8})

Apply log rule:

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

lo g_{3} (\frac{27}{x + 8}) = lo g_{3} (27) - lo g_{3} (x + 8)

= lo g_{3} (27) - lo g_{3} (x + 8)

lo g_{3} (27) = 3

= 3 - lo g_{3} (x + 8)

lo g_{2} (\frac{8 x ^{3}}{x ^{2} - 1})

lo g_{5} (\frac{f}{125})

lo g_{10} (10 x^{5})

ln (x x^{2} + 5)

lo g_{10} (\frac{1}{x ^{n}})

What is log_{3}((27)/(sqrt(x+8))) ?
The solution to log_{3}((27)/(sqrt(x+8))) is 3-log_{3}(sqrt(x+8))