SOLUTION: The population of rabbits in an area is modeled by the growth equation P(t)=8e^.26t, where P is in the thousands and t is in years. How long will it take for population to reach 25

Question 720466: The population of rabbits in an area is modeled by the growth equation P(t)=8e^.26t, where P is in the thousands and t is in years. How long will it take for population to reach 25,000?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The population of rabbits in an area is modeled by the growth equation P(t)=8e^.26t, where P is in the thousands and t is in years. How long will it take for population to reach 25,000?
.
Set P(t) to 25000 and solve for t:
P(t)=8e^(.26t)
25000 = 8e^(.26t)
25000/8 = e^(.26t)
3125 = e^(.26t)
ln(3125) = .26t
ln(3125)/.26 = t
8.047/.26 = t
30.95 = t
or approximately
31 years = t

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