.
This problem is constructed by its composer according the following principle
Push all known words and formulas into one box.
Do not care about the meaning.
and let the reader spends his (or her) time,
while we will laugh on him.
I know the method on how to solve it.
This method is FILTERING OUT ALL UNNECESSARY WORDS.
Following this method, I read the problem in this way
1) We are given the initial number of bacteria (8)
2) We are given the doubling time (6 hours)
3) We are asked about the time getting N = 7681 bacteria.
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It is the standard problem on exponential growth.
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N(t) = 8*2^(t/6)
7681 = 8^2^(t/6)
= 2^(t/6)
960.125 = 2^(t/6)
= logarithm base 2
t = = 59.44 hours. ANSWER
Solved.
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The rest of the non-necessary words in the post is GARBAGE.
In simple terms, posting such "problems" is mocking tutors.
Next time I will not allow for such gibberish to come to the forum:
as soon as I will see it, I will delete it (without explanations).