What is 0.77-(8.134*298)/(1*96500)*ln(1/4) ?

The solution to 0.77-(8.134*298)/(1*96500)*ln(1/4) is 0.77+(4847.864)/(96500)ln(2)

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simplify 0.77-(8.134298)/(196500)*ln(1/4)

simplify

0.77 - \frac{8.134 \cdot 298}{1 \cdot 96500} \cdot ln (\frac{1}{4})

0.77 + \frac{4847.864}{96500} ln (2)

Decimal

0.80482 \dots

Solution steps

0.77 - \frac{8.134 \cdot 298}{1 \cdot 96500} ln (\frac{1}{4})

Apply log rule:

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

ln (\frac{1}{4}) = ln (1) - ln (4)

= 0.77 - \frac{298 \cdot 8.134}{1 \cdot 96500} (ln (1) - ln (4))

\frac{8.134 \cdot 298}{1 \cdot 96500} (ln (1) - ln (4)) = - \frac{4847.864}{96500} ln (2)

= 0.77 - (- \frac{4847.864}{96500} ln (2))

Apply rule

- (- a) = a

= 0.77 + ln (2) \frac{4847.864}{96500}

ln (\frac{0.01}{382})

5 - (- ln ∣ 8.7 - 3 ∣ + 2 ln ∣ 8.7 - 2 ∣)

ln (\frac{0.2031}{0.2609})

\frac{( ln ( z + 4 ) - 6 ln ( z - 1 ) )}{5}

ln (\frac{4.08 \cdot 1 0 ^{22}}{5 \cdot 1 0 ^{22}})

What is 0.77-(8.134*298)/(1*96500)*ln(1/4) ?
The solution to 0.77-(8.134*298)/(1*96500)*ln(1/4) is 0.77+(4847.864)/(96500)ln(2)