What is log_{2}(4/(sqrt(x+8))) ?

The solution to log_{2}(4/(sqrt(x+8))) is 2-log_{2}(sqrt(x+8))

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simplify log_{2}(4/(sqrt(x+8)))

simplify

lo g_{2} (\frac{4}{x + 8})

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

Solution steps

lo g_{2} (\frac{4}{x + 8})

Apply log rule:

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

lo g_{2} (\frac{4}{x + 8}) = lo g_{2} (4) - lo g_{2} (x + 8)

= lo g_{2} (4) - lo g_{2} (x + 8)

lo g_{2} (4) = 2

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

ln (a e^{x})

lo g_{2} (x) - lo g_{2} (y)

lo g_{10} (\frac{x}{x - 1})

3 lo g_{10} (5) + 2 lo g_{10} (3) - 4 lo g_{10} (2)

- lo g_{10} (4 \cdot 1 0^{- 4})

What is log_{2}(4/(sqrt(x+8))) ?
The solution to log_{2}(4/(sqrt(x+8))) is 2-log_{2}(sqrt(x+8))