What is 8.314*ln(15000/2000) ?

The solution to 8.314*ln(15000/2000) is 8.314(ln(15000)-ln(2000))

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simplify 8.314*ln(15000/2000)

simplify

8.314 \cdot ln (\frac{15000}{2000})

8.314 (ln (15000) - ln (2000))

Decimal Notation

16.75190 \dots

Solution steps

8.314 ln (\frac{15000}{2000})

Apply log rule:

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

ln (\frac{15000}{2000}) = ln (15000) - ln (2000)

= 8.314 (ln (15000) - ln (2000))

ln (\frac{e}{8})

lo g_{10} (a b^{2} c)

ln (x e^{(\frac{y}{z})})

- \frac{ln ( \frac{9}{2} ) - ln ( \frac{25}{2} )}{4}

- lo g_{10} (1.4 \cdot 1 0^{- 6})

What is 8.314*ln(15000/2000) ?
The solution to 8.314*ln(15000/2000) is 8.314(ln(15000)-ln(2000))