Question

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?

Answer 1

A(t) and B(t) ok?

Answer 2

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

Answer 3

set them equal and solve for t

Answer 4

\[t=\frac{\ln 3}{\frac{\ln 2}{2}-\frac{\ln 2}{3}}\]

Answer 5

t=9.51

Answer 6

helppp

Answer 7

what do you need help with prettychicka?