What is ln(2/(xsqrt(1-x))) ?

The solution to ln(2/(xsqrt(1-x))) is ln(2)-ln(x)-ln(sqrt(1-x))

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simplify ln(2/(xsqrt(1-x)))

simplify

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

ln (2) - ln (x) - ln (1 - x)

Solution steps

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

Apply log rule:

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

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

= ln (2) - ln (x - x + 1)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

= ln (2) - (ln (x) + ln (- x + 1))

- (ln (x) + ln (1 - x)) : - ln (x) - ln (1 - x)

= ln (2) - ln (x) - ln (1 - x)

ln (6) + 2 ln (x y)

ln (7) + ln (x) - ln (y)

ln (\frac{e}{x ^{2} y ^{3} z})

6 ln (9) - 4 ln (4) - 4

ln (6) + 2 ln (2)

What is ln(2/(xsqrt(1-x))) ?
The solution to ln(2/(xsqrt(1-x))) is ln(2)-ln(x)-ln(sqrt(1-x))