SOLUTION: The generation time for bacteria is the time it takes for the population to double. The generation time G can be found using experimental data and the formula {{{G=(t/(3.3log(F/b))

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The generation time for bacteria is the time it takes for the population to double. The generation time G can be found using experimental data and the formula {{{G=(t/(3.3log(F/b))      Log On


   

Question 877293: The generation time for bacteria is the time it takes for the population to double. The generation time G can be found using experimental data and the formula G=%28t%2F%283.3log%28F%2Fb%29%29%29 where t is the time period, b is the number of bacteria at the beginning of the experiment and f is the number of bacteria at the end of the experiment.
The generation time for mycobacterium tuberculosis is 16 hours. How long will it take for two of these bacteria to multiply into 256 bacteria?
Answer by cigany29(23) About Me  (Show Source):
You can put this solution on YOUR website!
G=%28t%2F%283.3log%28F%2Fb%29%29%29 where G=16, F=256, b=2
16=%28t%2F%283.3log%28256%2F2%29%29%29
16=%28t%2F%283.3log%28128%29%29%29
t=16%283.3log%28128%29%29
t=111.26
It will take 2 bacteria 111.26 hours to multiply into 256