What is 1/(0.919)ln(1/(1-0.919)) ?

The solution to 1/(0.919)ln(1/(1-0.919)) is -(ln(0.081))/(0.919)

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simplify 1/(0.919)ln(1/(1-0.919))

simplify

\frac{1}{0.919} ln (\frac{1}{1 - 0.919})

- \frac{ln ( 0.081 )}{0.919}

Decimal Notation

2.73482 \dots

Solution steps

\frac{1}{0.919} ln (\frac{1}{1 - 0.919})

Apply log rule:

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

ln (\frac{1}{1 - 0.919}) = ln (1) - ln (1 - 0.919)

= \frac{1}{0.919} (ln (1) - ln (1 - 0.919))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot ( ln ( 1 ) - ln ( 1 - 0.919 ) )}{0.919}

1 \cdot (ln (1) - ln (1 - 0.919)) = ln (1) - ln (0.081)

= \frac{ln ( 1 ) - ln ( 0.081 )}{0.919}

Apply log rule:

lo g_{a} (1) = 0

= \frac{0 - ln ( 0.081 )}{0.919}

0 - ln (0.081) = - ln (0.081)

= \frac{- ln ( 0.081 )}{0.919}

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{ln ( 0.081 )}{0.919}

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What is 1/(0.919)ln(1/(1-0.919)) ?
The solution to 1/(0.919)ln(1/(1-0.919)) is -(ln(0.081))/(0.919)