A = Ai e^kt
2 = e^3k
3 k = ln 2
k = .231
30 = e^(.231 t)
ln 30 = .231 t
t = 14.7 hours
After 3 hours the number of bacteria in a culture is observed to have doubled. Find the time that it takes the culture to grow to 30 times its initial size.
1 answer