Originally Posted by lancelot854
Two bacteria colonies are cultivated in a laboratory. The first colony has a doubling time of 2 hours and the second a doubling time of 3 hours. Initially, the first colony contains 1000 bacteria and the second colony 3,000 bacteria. At what time t will sizes of the colonies be equal?

We never learned this in class, and he expects us to know it for the next one. I have no idea what to do here. :S
This should tell you that at time $t$ the colony size $N(t)$ is:

$N(t)=N(0)2^{t/t_2}$

where $t_2$ is the colony doubling time and $N(0)$ is the colony size at $t=0$

CB