Ln(780/x)=(40700/4.184)((1/342)-(1/373))

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Solution for Ln(780/x)=(40700/4.184)((1/342)-(1/373)) equation: 


D( x )

x = 0

780/x <= 0

x = 0

x = 0

780/x <= 0

780/x <= 0

780*x^-1 <= 0

780*x^-1 <= 0 // : 780

x^-1 <= 0/780

x^-1 <= 0

1/(x^1) <= 0

x <> 0

1/(x^1) <= 0 // * x^2

(x^2)/(x^1) <= 0

x^1 <= 0

x <= 0

x in (-oo:0)

x in (0:+oo)

ln(780/x) = (40700/4.184)*(1/342-(1/373)) // - (40700/4.184)*(1/342-(1/373))

ln(780/x)-((40700/4.184)*(1/342-(1/373))) = 0

ln(780/x)-9727.5334608*(1/342-1/373) = 0

ln(780/x)-2.363887906309008 = 0 // + 2.363887906309008

ln(780/x) = 2.363887906309008

ln(780/x) = ln(e^2.363887906309008)

780/x = e^2.363887906309008

780/x-e^2.363887906309008 = 0

780*x^-1 = e^2.363887906309008 // : 780

x^-1 = (e^2.363887906309008)/780

-1 < 0

1/(x^1) = (e^2.363887906309008)/780 // * x^1

1 = ((e^2.363887906309008)/780)*x^1 // : (e^2.363887906309008)/780

780*e^-2.363887906309008 = x^1

x = 780*e^-2.363887906309008

x = 780*e^-2.363887906309008

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