SOLUTION: the number of bacteria present in a culture is modeled by the formula N=100e^5t where N is the number of bacteria present after t hours. To the nearest tenth, in how many hours wil

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: the number of bacteria present in a culture is modeled by the formula N=100e^5t where N is the number of bacteria present after t hours. To the nearest tenth, in how many hours wil      Log On


   



Question 753067: the number of bacteria present in a culture is modeled by the formula N=100e^5t where N is the number of bacteria present after t hours. To the nearest tenth, in how many hours will N equal 20,000?
Answer by gingertea(7) About Me  (Show Source):
You can put this solution on YOUR website!
N=100e^5t = 20,000 in t time,
therefore,100e^5t = 20,000
e^5t=20000/100
e^5t=200
5t=ln+200
5t=5.298
t=1.298
nearest hour,t=1
Hope this help~=)