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Popular >

simplify ln(x/(1-x))

Solution

simplify

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

Solution

ln (x) - ln (1 - x)

Solution steps

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

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x}{1 - x}) = ln (x) - ln (1 - x)

= ln (x) - ln (- x + 1)

Popular Examples

expand ln(xyz^2)expand

ln (x y z^{2})

simplify 6log_{b}(x)+7log_{b}(z)simplify

6 lo g_{b} (x) + 7 lo g_{b} (z)

expand log_{2}((sqrt(a-1))/9)expand

lo g_{2} (\frac{a - 1}{9})

simplify log_{10}(2pi)simplify

lo g_{10} (2 π)

simplify 3.3+log_{10}((0.3-0.05)/(0.25+0.05))simplify

3.3 + lo g_{10} (\frac{0.3 - 0.05}{0.25 + 0.05})

Frequently Asked Questions (FAQ)

What is ln(x/(1-x)) ?
The solution to ln(x/(1-x)) is ln(x)-ln(1-x)