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Popular >

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

Solution

simplify

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

Solution

- ln (- x^{2} + 1)

Solution steps

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

Apply log rule:

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

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

= ln (1) - ln (- x^{2} + 1)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (- x^{2} + 1)

0 - ln (1 - x^{2}) = - ln (1 - x^{2})

= - ln (- x^{2} + 1)

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Frequently Asked Questions (FAQ)

What is ln(1/((1-x^2))) ?
The solution to ln(1/((1-x^2))) is -ln(-x^2+1)