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Popular >

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

Solution

simplify

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

Solution

- e ln (- x + 1)

Solution steps

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

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)

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

Apply log rule:

lo g_{a} (1) = 0

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

Refine

= - ln (- x + 1) e

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Frequently Asked Questions (FAQ)

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