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

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

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

simplify

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

3 - lo g_{2} (x + 8)

Solution steps

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

Apply log rule:

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

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

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

lo g_{2} (8) = 3

= 3 - lo g_{2} (x + 8)

lo g_{3} (\frac{8 x}{y})

2 lo g_{10} (10 x)

ln (\frac{4}{6})

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