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

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

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

expand

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

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)

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