SOLUTION: use the exponential growth model A=A_0e^kt to show that the time it takes a population to double(to grow from A_0 to 2A_0) is given by t=ln2/k. They do not give the rate of growt

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: use the exponential growth model A=A_0e^kt to show that the time it takes a population to double(to grow from A_0 to 2A_0) is given by t=ln2/k. They do not give the rate of growt      Log On


   



Question 341784: use the exponential growth model A=A_0e^kt to show that the time it takes a population to double(to grow from A_0 to 2A_0) is given by t=ln2/k.
They do not give the rate of growth so I can not figure this out. Help PLEASE!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
A=A0%2Ae%5E%28kt%29
.
Find t when A=2%2AA0
.
.
2A0=A0%2Ae%5E%28kt%29
2=e%5E%28kt%29
ln%282%29=kt
t=ln%282%29%2Fk