What is log_{2}(4/(sqrt(x+9))) ?

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

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simplify log_{2}(4/(sqrt(x+9)))

simplify

lo g_{2} (\frac{4}{x + 9})

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

Solution steps

lo g_{2} (\frac{4}{x + 9})

Apply log rule:

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

lo g_{2} (\frac{4}{x + 9}) = lo g_{2} (4) - lo g_{2} (x + 9)

= lo g_{2} (4) - lo g_{2} (x + 9)

lo g_{2} (4) = 2

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

lo g_{10} (y) + 2 lo g_{10} (z)

lo g_{10} (\frac{x ^{33} y ^{20}}{z ^{36}})

- lo g_{10} (1.76 \times 1 0^{- 5})

lo g_{b} (y^{3} z)

lo g_{b} (\frac{1}{10}) + lo g_{b} (20)

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