Question 173587: A bacteria culture doubles every 15min. How long would it take for a culture of 20 bacteria to grow to a population of 163840? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! A bacteria culture doubles every 15min. How long would it take for a culture of 20 bacteria to grow to a population of 163840?
---------------
A(t) = Ao*2^(t/4) where t is hours.
-------------------------------------
163840 = 20*2^(t/4)
2^(t/4) = 8192
(t/4)log2 = log 8192
t/4 = [log 8192 / log 2]
t/4 = 13
t = 52 hours
=================
Cheers,
Stan H.
(