SOLUTION: Hi, I have to solve the following for t: 300=500(1-e^0.2t) Assume that ln *0.4)= -0.9 I wouldnt even know where to start..all i can think to do is 300\500=(1-e^0.2t) any

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Hi, I have to solve the following for t: 300=500(1-e^0.2t) Assume that ln *0.4)= -0.9 I wouldnt even know where to start..all i can think to do is 300\500=(1-e^0.2t) any      Log On


   

Question 51777: Hi, I have to solve the following for t:
300=500(1-e^0.2t)
Assume that ln *0.4)= -0.9
I wouldnt even know where to start..all i can think to do is
300\500=(1-e^0.2t)
any help would be very much appreciated! thanks
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
300=500(1-e^0.2t)
3/5 = 1 - e^(.2t)
2/5 = e^(.2t)
ln(2/5) = .2t
ln(2/5)/.2 = t
-0.9/.2 = t = -4.5