What is (15)/(9.5*0.10305)*ln(1/(1-0.8)) ?

The solution to (15)/(9.5*0.10305)*ln(1/(1-0.8)) is -(15ln(0.2))/(0.978975)

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simplify (15)/(9.50.10305)ln(1/(1-0.8))

simplify

\frac{15}{9.5 \cdot 0.10305} \cdot ln (\frac{1}{1 - 0.8})

- \frac{15 ln ( 0.2 )}{0.978975}

Decimal Notation

24.66004 \dots

Solution steps

\frac{15}{9.5 \cdot 0.10305} ln (\frac{1}{1 - 0.8})

Apply log rule:

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

ln (\frac{1}{1 - 0.8}) = ln (1) - ln (1 - 0.8)

= \frac{15}{0.10305 \cdot 9.5} (ln (1) - ln (1 - 0.8))

Multiply fractions:

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

= \frac{15 ( ln ( 1 ) - ln ( 1 - 0.8 ) )}{9.5 \cdot 0.10305}

Subtract the numbers:

1 - 0.8 = 0.2

= \frac{15 ( ln ( 1 ) - ln ( 0.2 ) )}{0.10305 \cdot 9.5}

Multiply the numbers:

9.5 \cdot 0.10305 = 0.978975

= \frac{15 ( ln ( 1 ) - ln ( 0.2 ) )}{0.978975}

Apply log rule:

lo g_{a} (1) = 0

= \frac{15 ( - ln ( 0.2 ) + 0 )}{0.978975}

15 (0 - ln (0.2)) = - 15 ln (0.2)

= \frac{- 15 ln ( 0.2 )}{0.978975}

Apply the fraction rule:

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

= - \frac{15 ln ( 0.2 )}{0.978975}

ln (\frac{110}{70})

- lo g_{10} (1.02 \cdot 1 0^{- 6})

2 ln ∣ 2 x + 1 ∣ - 2 ln ∣ x + 1 ∣

ln (\frac{298}{297})

What is (15)/(9.5*0.10305)*ln(1/(1-0.8)) ?
The solution to (15)/(9.5*0.10305)*ln(1/(1-0.8)) is -(15ln(0.2))/(0.978975)