What is log_{3}(9/(sqrt(x+8))) ?

The solution to log_{3}(9/(sqrt(x+8))) is 2-log_{3}(sqrt(x+8))

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simplify log_{3}(9/(sqrt(x+8)))

simplify

lo g_{3} (\frac{9}{x + 8})

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

Solution steps

lo g_{3} (\frac{9}{x + 8})

Apply log rule:

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

lo g_{3} (\frac{9}{x + 8}) = lo g_{3} (9) - lo g_{3} (x + 8)

= lo g_{3} (9) - lo g_{3} (x + 8)

lo g_{3} (9) = 2

= 2 - lo g_{3} (x + 8)

lo g_{10} (a^{2}) + lo g_{10} (b) - lo g_{10} (a)

ln (7 x (cos (x))^{\frac{x}{2}})

lo g_{10} (a + b) - lo g_{10} (a) - lo g_{10} (b)

lo g_{10} (\frac{k}{r})

4 lo g_{10} (a) - \frac{1}{2} lo g_{10} (b) + lo g_{10} (c)

What is log_{3}(9/(sqrt(x+8))) ?
The solution to log_{3}(9/(sqrt(x+8))) is 2-log_{3}(sqrt(x+8))