What is log_{3}(9/(sqrt(x+4))) ?

The solution to log_{3}(9/(sqrt(x+4))) is 2-log_{3}(sqrt(x+4))

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simplify log_{3}(9/(sqrt(x+4)))

simplify

lo g_{3} (\frac{9}{x + 4})

2 - lo g_{3} (x + 4)

Solution steps

lo g_{3} (\frac{9}{x + 4})

Apply log rule:

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

lo g_{3} (\frac{9}{x + 4}) = lo g_{3} (9) - lo g_{3} (x + 4)

= lo g_{3} (9) - lo g_{3} (x + 4)

lo g_{3} (9) = 2

= 2 - lo g_{3} (x + 4)

lo g_{10} (x) + 4 lo g_{10} (y) - 5 lo g_{10} (z)

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- \frac{4}{5} lo g_{2} (\frac{4}{5}) - \frac{1}{5} lo g_{2} (\frac{1}{5})

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What is log_{3}(9/(sqrt(x+4))) ?
The solution to log_{3}(9/(sqrt(x+4))) is 2-log_{3}(sqrt(x+4))