What is ln(2.5*10^{-3})+((130000)/(8.314*473)) ?

The solution to ln(2.5*10^{-3})+((130000)/(8.314*473)) is ln(2.5)-3ln(10)++(130000)/(8.314*473)

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simplify ln(2.510^{-3})+((130000)/(8.314473))

simplify

ln (2.5 \cdot 1 0^{- 3}) + (\frac{130000}{8.314 \cdot 473})

ln (2.5) - 3 ln (10) + + \frac{130000}{8.314 \cdot 473}

Decimal Notation

27.06620 \dots

Solution steps

ln (2.5 \cdot 1 0^{- 3}) + (\frac{130000}{8.314 \cdot 473})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2.5 \cdot 1 0^{- 3}) = ln (2.5) + ln (1 0^{- 3})

= ln (2.5) + ln (1 0^{- 3}) + (\frac{130000}{473 \cdot 8.314})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (1 0^{- 3}) = - 3 ln (10)

= ln (2.5) - 3 ln (10) + + \frac{130000}{8.314 \cdot 473}

ln (\frac{1}{2} x + 4 + x^{2})

lo g_{4} (x + 3) + lo g_{4} (x - 3)

lo g_{a} (\frac{x ^{\frac{1}{2}} y ^{5}}{x ^{3}})

lo g_{10} (\frac{p ^{6}}{q ^{1}})

lo g_{10} (12 x^{2})

What is ln(2.5*10^{-3})+((130000)/(8.314*473)) ?
The solution to ln(2.5*10^{-3})+((130000)/(8.314*473)) is ln(2.5)-3ln(10)++(130000)/(8.314*473)