What is expand log_{2}(4/(sqrt(x+6))) ?

The solution to expand log_{2}(4/(sqrt(x+6))) is 2-log_{2}(sqrt(x+6))

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expand log_{2}(4/(sqrt(x+6)))

expand

lo g_{2} (\frac{4}{x + 6})

2 - lo g_{2} (x + 6)

Solution steps

lo g_{2} (\frac{4}{x + 6})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{2} (\frac{4}{x + 6}) = lo g_{2} (4) - lo g_{2} (x + 6)

= lo g_{2} (4) - lo g_{2} (x + 6)

lo g_{2} (4) = 2

= 2 - lo g_{2} (x + 6)

lo g_{2} (n^{2} \cdot lo g_{2} (n))

lo g_{10} (\frac{1}{3}) + lo g_{10} (2)

- lo g_{10} (1.21 \cdot 1 0^{- 3})

ln ∣ 1 ∣ - \frac{3}{2} ln ∣ 5 ∣ + 2 ln ∣ 6 ∣ + C

ln (x^{9} 5 - x)

What is expand log_{2}(4/(sqrt(x+6))) ?
The solution to expand log_{2}(4/(sqrt(x+6))) is 2-log_{2}(sqrt(x+6))