What is (8.314*310)/(1*96485)ln((5.3)/(140)) ?

The solution to (8.314*310)/(1*96485)ln((5.3)/(140)) is (2577.34)/(96485)(ln(5.3)-ln(140))

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simplify (8.314310)/(196485)ln((5.3)/(140))

simplify

\frac{8.314 \cdot 310}{1 \cdot 96485} ln (\frac{5.3}{140})

\frac{2577.34}{96485} (ln (5.3) - ln (140))

Decimal Notation

- 0.08745 \dots

Solution steps

\frac{8.314 \cdot 310}{1 \cdot 96485} ln (\frac{5.3}{140})

Apply log rule:

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

ln (\frac{5.3}{140}) = ln (5.3) - ln (140)

= \frac{310 \cdot 8.314}{1 \cdot 96485} (ln (5.3) - ln (140))

\frac{8.314 \cdot 310}{1 \cdot 96485} = \frac{2577.34}{96485}

= \frac{2577.34}{96485} (ln (5.3) - ln (140))

lo g_{10} (x + 2) - \frac{1}{2} lo g_{10} (1 + x^{2})

5 lo g_{a} (a) - lo g_{a} (a^{7}) + lo g_{a} (a^{- 3})

ln (\frac{\frac{1}{3}}{\frac{1}{59049}})

ln (\frac{11}{10})

ln (25) + ln (2)

What is (8.314*310)/(1*96485)ln((5.3)/(140)) ?
The solution to (8.314*310)/(1*96485)ln((5.3)/(140)) is (2577.34)/(96485)(ln(5.3)-ln(140))