What is 8.314*298*(ln(0.033^5)-ln(0.749^5)) ?

The solution to 8.314*298*(ln(0.033^5)-ln(0.749^5)) is 2477.572ln(1.6602E-7)

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simplify 8.314298(ln(0.033^5)-ln(0.749^5))

simplify

8.314 \cdot 298 \cdot (ln (0.03 3^{5}) - ln (0.74 9^{5}))

2477.572 ln (1.6602 E - 7)

Decimal Notation

- 38677.76574 \dots

Solution steps

8.314 \cdot 298 (ln (0.03 3^{5}) - ln (0.74 9^{5}))

Apply log rule:

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

ln (0.03 3^{5}) - ln (0.74 9^{5}) = ln (\frac{0.03 3 ^{5}}{0.74 9 ^{5}})

= 298 \cdot 8.314 ln (\frac{0.03 3 ^{5}}{0.74 9 ^{5}})

\frac{0.03 3 ^{5}}{0.74 9 ^{5}} = 1.6602 E - 7

= 8.314 \cdot 298 ln (1.6602 E - 7)

Multiply the numbers:

8.314 \cdot 298 = 2477.572

= 2477.572 ln (1.6602 E - 7)

ln (\frac{1}{4 x - 10})

ln (\frac{3.64}{23}) + \frac{2 \cdot 2}{23}

(4186) ln (0.77090493) - 8.314 ln (0.1)

ln (y^{x} e^{- y})

lo g_{2} (0.05) + lo g_{2} (0.9)

What is 8.314*298*(ln(0.033^5)-ln(0.749^5)) ?
The solution to 8.314*298*(ln(0.033^5)-ln(0.749^5)) is 2477.572ln(1.6602E-7)