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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (4) = 2

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

5 lo g_{7} (u) + lo g_{7} (v)

- ln (4) - ln (3)

ln (6) - ln (7)

ln (\frac{7.5}{15})

ln (x - 4) + ln (x + 4)

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