What is (19.16)/(0.0004*0.02)ln(1/(1-0.9)) ?

The solution to (19.16)/(0.0004*0.02)ln(1/(1-0.9)) is -(19.16ln(0.1))/(0.000008)

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simplify (19.16)/(0.0004*0.02)ln(1/(1-0.9))

simplify

\frac{19.16}{0.0004 \cdot 0.02} ln (\frac{1}{1 - 0.9})

- \frac{19.16 ln ( 0.1 )}{0.000008}

Decimal Notation

5514691.29772 \dots

Solution steps

\frac{19.16}{0.0004 \cdot 0.02} ln (\frac{1}{1 - 0.9})

Apply log rule:

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

ln (\frac{1}{1 - 0.9}) = ln (1) - ln (1 - 0.9)

= \frac{19.16}{0.0004 \cdot 0.02} (ln (1) - ln (1 - 0.9))

Multiply fractions:

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

= \frac{19.16 ( ln ( 1 ) - ln ( 1 - 0.9 ) )}{0.0004 \cdot 0.02}

Subtract the numbers:

1 - 0.9 = 0.1

= \frac{19.16 ( ln ( 1 ) - ln ( 0.1 ) )}{0.0004 \cdot 0.02}

Multiply the numbers:

0.0004 \cdot 0.02 = 0.000008

= \frac{19.16 ( ln ( 1 ) - ln ( 0.1 ) )}{0.000008}

Apply log rule:

lo g_{a} (1) = 0

= \frac{19.16 ( - ln ( 0.1 ) + 0 )}{0.000008}

19.16 (0 - ln (0.1)) = - 19.16 ln (0.1)

= \frac{- 19.16 ln ( 0.1 )}{0.000008}

Apply the fraction rule:

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

= - \frac{19.16 ln ( 0.1 )}{0.000008}

2 (lo g_{7} (x) + 3 lo g_{7} (y) - 5 lo g_{7} (z))

4.18 \cdot ln (\frac{343.15}{278.15})

ln (2 \cdot ln (4))

\frac{1}{0.76} ln (\frac{29.41}{14.705})

lo g_{a} (\frac{a ^{x} e ^{- a}}{x !})

What is (19.16)/(0.0004*0.02)ln(1/(1-0.9)) ?
The solution to (19.16)/(0.0004*0.02)ln(1/(1-0.9)) is -(19.16ln(0.1))/(0.000008)