What is 0.77-(8.134*298)/(1*96500)*ln(1/2) ?

The solution to 0.77-(8.134*298)/(1*96500)*ln(1/2) is 0.77+(2423.932)/(96500)ln(2)

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simplify 0.77-(8.134298)/(196500)*ln(1/2)

simplify

0.77 - \frac{8.134 \cdot 298}{1 \cdot 96500} \cdot ln (\frac{1}{2})

0.77 + \frac{2423.932}{96500} ln (2)

Decimal Notation

0.78741 \dots

Solution steps

0.77 - \frac{8.134 \cdot 298}{1 \cdot 96500} ln (\frac{1}{2})

Apply log rule:

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

ln (\frac{1}{2}) = ln (1) - ln (2)

= 0.77 - \frac{298 \cdot 8.134}{1 \cdot 96500} (ln (1) - ln (2))

\frac{8.134 \cdot 298}{1 \cdot 96500} (ln (1) - ln (2)) = - \frac{2423.932}{96500} ln (2)

= 0.77 - (- \frac{2423.932}{96500} ln (2))

Apply rule

- (- a) = a

= 0.77 + \frac{2423.932}{96500} ln (2)

3 ln x^{2} - 16 - \frac{1}{4} (ln \frac{x}{4} + 1 - ln \frac{x}{4} - 1)

ln (- 3 e^{- x})

- lo g_{10} (4.5 \cdot 1 0^{- 10})

lo g_{5} (\frac{1}{500})

ln (x) + \frac{1}{2} \cdot ln (1 + \frac{y ^{2}}{x ^{2}})

What is 0.77-(8.134*298)/(1*96500)*ln(1/2) ?
The solution to 0.77-(8.134*298)/(1*96500)*ln(1/2) is 0.77+(2423.932)/(96500)ln(2)