What is ln(1/(sqrt(1-x^2))) ?

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

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

simplify

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

- 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)

lo g_{2} (\frac{1}{216})

ln (4 sin^{2} (x))

ln (600 t^{3} e^{- 78.5 t})

- ln (\frac{0.79}{1.21 \cdot 1 0 ^{4}})

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