SOLUTION: a culture starts at 1000 bacteria and doubles every 60 minutes how long it take the number of bacteria to reach 5,000

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Question 1199901: a culture starts at 1000 bacteria and doubles every 60 minutes how long it take the number of bacteria to reach 5,000
Answer by ikleyn(52898) About Me  (Show Source):
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a culture starts at 1000 bacteria and doubles every 60 minutes
how long it take the number of bacteria to reach 5,000
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60 minutes = 1 hour, so I will find the time in hours.


In hours, the growth exponential formula is

    N(t) = N%280%29%2A2%5Et.


So we write

    5000 = 1000%2A2%5Et,

    5000%2F1000 = 2%5Et

    5 = 2%5Et


Take logarithm base 2

    log%282%2C%285%29%29 = t

    t = use your calculator = 2.322  hours  (rounded).

ANSWER.  2.322 hours,  or 2 hours 19 minutes and 19 seconds (approximately).

Solved.

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To see many other similar and different solved problems on bacteria growth,  look into the lesson
    - Bacteria growth problems
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Logarithms".


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Free of charge online textbook in ALGEBRA-I
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to your archive and use it when it is needed.