What is log_{2}(8/(sqrt(x+5))) ?

The solution to log_{2}(8/(sqrt(x+5))) is 3-log_{2}(sqrt(x+5))

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simplify log_{2}(8/(sqrt(x+5)))

simplify

lo g_{2} (\frac{8}{x + 5})

3 - lo g_{2} (x + 5)

Solution steps

lo g_{2} (\frac{8}{x + 5})

Apply log rule:

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

lo g_{2} (\frac{8}{x + 5}) = lo g_{2} (8) - lo g_{2} (x + 5)

= lo g_{2} (8) - lo g_{2} (x + 5)

lo g_{2} (8) = 3

= 3 - lo g_{2} (x + 5)

lo g_{10} (x (x^{2} + 8)^{- \frac{1}{2}})

4 lo g_{10} (2) + lo g_{10} (6) - lo g_{10} (3)

lo g_{4} (\frac{x ^{\frac{7}{2}} y ^{2}}{3 ^{5}})

ln (\frac{7}{8 x ^{8} y})

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

What is log_{2}(8/(sqrt(x+5))) ?
The solution to log_{2}(8/(sqrt(x+5))) is 3-log_{2}(sqrt(x+5))