## anonymous 5 years ago Two bacteria colonies are cultivated in a lab. The 1st colony has a doubling time of 2 hours & the second has a doubling time of 3 hours. Initially, the 1st colony contains 1,000 bacteria & the second has 3,000 bacteria. At what time t will the sizes of the colonies be equal?

1. anonymous

A(t) and B(t) ok?

2. anonymous

A(t) = 1000e^(t*ln2/2) B(t) = 3000e^(t*ln2/3)

3. anonymous

set them equal and solve for t

4. anonymous

$t=\frac{\ln 3}{\frac{\ln 2}{2}-\frac{\ln 2}{3}}$

5. anonymous

t=9.51

6. anonymous

helppp

7. anonymous

what do you need help with prettychicka?