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

Step-by-step explanation:

$5400=1800(2)^t\\\\3=2^t\\\\ln\ 3=ln\ 2^t\\\\ln\ 3=t\cdot ln\ 2\\\\\dfrac{ln\ 3}{ln\ 2}=t\\\\1.58=t$