Question

A certain strain of bacteria divides every 2 hours. If a colony is started with 80 bacteria, then the time t (in hours) required for the colony to grow to N bacteria is given by t = 2 log(N/80) log 2 . Find the time required for the colony to grow to two million bacteria.

Answer 1

Answer:

The time required for the colony to grow two million bacteria is 29.22.

Explanation:

Time required for the colony to grow can be calculated by the following equation:

$t=2log(N/80)/log 2.$

Here t is time, N = 2 million  (require bacteria population).

$t=2log(2,000,000/80)/log2$

t ≈ 29.22

Time taken by bacteria to grow is 29.22.