What is log_{2}(8/(sqrt(x+6))) ?

The solution to log_{2}(8/(sqrt(x+6))) is 3-log_{2}(sqrt(x+6))

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simplify log_{2}(8/(sqrt(x+6)))

simplify

lo g_{2} (\frac{8}{x + 6})

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

Solution steps

lo g_{2} (\frac{8}{x + 6})

Apply log rule:

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

lo g_{2} (\frac{8}{x + 6}) = lo g_{2} (8) - lo g_{2} (x + 6)

= lo g_{2} (8) - lo g_{2} (x + 6)

lo g_{2} (8) = 3

= 3 - lo g_{2} (x + 6)

ln (\frac{28}{e})

ln (\frac{x + 2}{x - 1})

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

ln (\frac{x + 2}{x - 2})

ln (x) - ln (x^{2})

What is log_{2}(8/(sqrt(x+6))) ?
The solution to log_{2}(8/(sqrt(x+6))) is 3-log_{2}(sqrt(x+6))