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Popular >

simplify ln(1/(1-x))

Solution

simplify

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

Solution

- ln (- x + 1)

Solution steps

ln (\frac{1}{1 - 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)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (- x + 1)

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

= - ln (- x + 1)

Popular Examples

(2x-3)(2x-1)=-4

(2 x - 3) (2 x - 1) = - 4

5 x^{2} = 35

simplify-9-9 simplify

- 9 - 9

simplify-3/(5^2)simplify

- \frac{3}{5 ^{2}}

simplify (20-17i)/(2-7i)simplify

\frac{20 - 17 i}{2 - 7 i}

Frequently Asked Questions (FAQ)

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