Question

If there are initially 1800 bacteria in a culture, and the number of bacteria double each hour, the number of bacteria after t hours can be found using the formula N=1800(2^t). About how long will it take the culture to grow to 5400 bacteria?

Answer 1

Answer: 1.58 hours

Explanation:

`5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\(ln\ 3)/(ln\ 2)=t\\\\1.58=t`