40/(1-5e^0.01x)=200

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Solution for 40/(1-5e^0.01x)=200 equation: 


D( x )

1-(5*e^0.01*x) = 0

1-(5*e^0.01*x) = 0

1-(5*e^0.01*x) = 0

1-5*e^0.01*x = 0

1-5*e^0.01*x = 0 // - 1

-5*e^0.01*x = -1 // : -5*e^0.01

x = -1/(-5*e^0.01)

x in (-oo:-1/(-5*e^0.01)) U (-1/(-5*e^0.01):+oo)

40/(1-(5*e^0.01*x)) = 200 // - 200

40/(1-(5*e^0.01*x))-200 = 0

40/(1-5*e^0.01*x)-200 = 0

40/(1-5*e^0.01*x)+(-200*(1-5*e^0.01*x))/(1-5*e^0.01*x) = 0

40-200*(1-5*e^0.01*x) = 0

1000*e^0.01*x-160 = 0

(1000*e^0.01*x-160)/(1-5*e^0.01*x) = 0

(1000*e^0.01*x-160)/(1-5*e^0.01*x) = 0 // * 1-5*e^0.01*x

1000*e^0.01*x-160 = 0

1000*e^0.01*x-160 = 0 // + 160

1000*e^0.01*x = 160 // : 1000*e^0.01

x = 160/(1000*e^0.01)

x = (4*e^-0.01)/25

x = (4*e^-0.01)/25

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