What is (2*8.314)*ln((1.5)/7) ?

The solution to (2*8.314)*ln((1.5)/7) is 16.628(ln(1.5)-ln(7))

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simplify (28.314)ln((1.5)/7)

simplify

(2 \cdot 8.314) \cdot ln (\frac{1.5}{7})

16.628 (ln (1.5) - ln (7))

Decimal Notation

- 25.61452 \dots

Solution steps

(2 \cdot 8.314) ln (\frac{1.5}{7})

Apply log rule:

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

ln (\frac{1.5}{7}) = ln (1.5) - ln (7)

= 2 \cdot 8.314 (ln (1.5) - ln (7))

Multiply the numbers:

2 \cdot 8.314 = 16.628

= 16.628 (ln (1.5) - ln (7))

- 5 ln (60 + \frac{5}{3} - 39) + 74.05 + 5 ln (\frac{5}{3})

- lo g_{10} (8.1 \cdot 1 0^{- 3})

ln (\frac{- 0.15415}{3})

- \frac{8.31 \cdot 310}{- 1 \cdot 9.65 \cdot 1 0 ^{4}} \cdot ln (\frac{160}{150})

4 lo g_{10} (x) + 2 lo g_{10} (y) - 5 lo g_{10} (z)

What is (2*8.314)*ln((1.5)/7) ?
The solution to (2*8.314)*ln((1.5)/7) is 16.628(ln(1.5)-ln(7))