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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.

Respuesta :

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:

[tex]t=2log(N/80)/log 2.[/tex]

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

[tex]t=2log(2,000,000/80)/log2[/tex]

t ≈ 29.22

Time taken by bacteria to grow is 29.22.

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