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Popular >

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

Solution

simplify

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

Solution

- ln (x (1 - x))

Solution steps

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

Rewrite

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

as

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

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

Apply log rule:

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

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

= - ln (x (1 - x))

Popular Examples

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\frac{( ln ( 96 ) - ln ( 3 ) )}{2}

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5 ln (x - 8) - 4 ln (x)

Frequently Asked Questions (FAQ)

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