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Popular >

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

Solution

simplify

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

Solution

- x - ln (- x + 1)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (- x + 1) - x

0 - ln (1 - x) - x = - ln (1 - x) - x

= - x - ln (- x + 1)

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9 \cdot ln (\frac{263}{273})

Frequently Asked Questions (FAQ)

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