What is expand log_{2}(4/(sqrt(x+7))) ?

The solution to expand log_{2}(4/(sqrt(x+7))) is 2-log_{2}(sqrt(x+7))

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expand log_{2}(4/(sqrt(x+7)))

expand

lo g_{2} (\frac{4}{x + 7})

2 - lo g_{2} (x + 7)

Solution steps

lo g_{2} (\frac{4}{x + 7})

Apply log rule:

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

lo g_{2} (\frac{4}{x + 7}) = lo g_{2} (4) - lo g_{2} (x + 7)

= lo g_{2} (4) - lo g_{2} (x + 7)

lo g_{2} (4) = 2

= 2 - lo g_{2} (x + 7)

ln (in f ini t o)

lo g_{b} (7) + lo g_{b} (3)

\frac{ln ( 12 ) - ln ( 2 )}{10}

5 lo g_{10} (6) - 3 lo g_{10} (x)

ln (x) - ln (- x)

What is expand log_{2}(4/(sqrt(x+7))) ?
The solution to expand log_{2}(4/(sqrt(x+7))) is 2-log_{2}(sqrt(x+7))