What is (19.16)/(0.004*0.02)ln(1/(1-0.9)) ?

The solution to (19.16)/(0.004*0.02)ln(1/(1-0.9)) is -(19.16ln(0.1))/(0.00008)

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Popular >

simplify (19.16)/(0.004*0.02)ln(1/(1-0.9))

simplify

\frac{19.16}{0.004 \cdot 0.02} ln (\frac{1}{1 - 0.9})

- \frac{19.16 ln ( 0.1 )}{0.00008}

Decimal

551469.12977 \dots

Solution steps

\frac{19.16}{0.004 \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}{0.004 \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 ) )}{0.004 \cdot 0.02}

Subtract the numbers:

1 - 0.9 = 0.1

= \frac{19.16 ( ln ( 1 ) - ln ( 0.1 ) )}{0.004 \cdot 0.02}

Multiply the numbers:

0.004 \cdot 0.02 = 0.00008

= \frac{19.16 ( ln ( 1 ) - ln ( 0.1 ) )}{0.00008}

Apply log rule:

lo g_{a} (1) = 0

= \frac{19.16 ( - ln ( 0.1 ) + 0 )}{0.00008}

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

= \frac{- 19.16 ln ( 0.1 )}{0.00008}

Apply the fraction rule:

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

= - \frac{19.16 ln ( 0.1 )}{0.00008}

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What is (19.16)/(0.004*0.02)ln(1/(1-0.9)) ?
The solution to (19.16)/(0.004*0.02)ln(1/(1-0.9)) is -(19.16ln(0.1))/(0.00008)