What is log_{2}(x/(1-x)) ?

The solution to log_{2}(x/(1-x)) is log_{2}(x)-log_{2}(1-x)

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simplify log_{2}(x/(1-x))

simplify

lo g_{2} (\frac{x}{1 - x})

lo g_{2} (x) - lo g_{2} (1 - x)

Solution steps

lo g_{2} (\frac{x}{1 - x})

Apply log rule:

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

lo g_{2} (\frac{x}{1 - x}) = lo g_{2} (x) - lo g_{2} (1 - x)

= lo g_{2} (x) - lo g_{2} (1 - x)

ln (2 x) + 2 x ln (2 x)

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

lo g_{6} (216 x)

- 4 ln (x) - 2 ln (y) - 3 ln (z)

lo g_{5} (\frac{25 b ^{5} y ^{2} - 9}{y ( x + 9 ) ^{2}})

What is log_{2}(x/(1-x)) ?
The solution to log_{2}(x/(1-x)) is log_{2}(x)-log_{2}(1-x)