20000=30/(1+29e^-1.35t)

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Solution for 20000=30/(1+29e^-1.35t) equation:


D( t )

29*e^-1.35*t+1 = 0

29*e^-1.35*t+1 = 0

29*e^-1.35*t+1 = 0

29*e^-1.35*t+1 = 0 // - 1

29*e^-1.35*t = -1 // : 29*e^-1.35

t = -1/(29*e^-1.35)

t in (-oo:-1/(29*e^-1.35)) U (-1/(29*e^-1.35):+oo)

20000 = 30/(29*e^-1.35*t+1) // - 30/(29*e^-1.35*t+1)

20000-(30/(29*e^-1.35*t+1)) = 0

20000-30*(29*e^-1.35*t+1)^-1 = 0

20000-30/(29*e^-1.35*t+1) = 0

(20000*(29*e^-1.35*t+1))/(29*e^-1.35*t+1)-30/(29*e^-1.35*t+1) = 0

20000*(29*e^-1.35*t+1)-30 = 0

580000*e^-1.35*t+19970 = 0

(580000*e^-1.35*t+19970)/(29*e^-1.35*t+1) = 0

(580000*e^-1.35*t+19970)/(29*e^-1.35*t+1) = 0 // * 29*e^-1.35*t+1

580000*e^-1.35*t+19970 = 0

580000*e^-1.35*t+19970 = 0 // - 19970

580000*e^-1.35*t = -19970 // : 580000*e^-1.35

t = -19970/(580000*e^-1.35)

t = (-1997*e^1.35)/58000

t = (-1997*e^1.35)/58000

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