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
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<pre>
60 minutes = 1 hour, so I will find the time in hours.


In hours, the growth exponential formula is

    N(t) = {{{N(0)*2^t}}}.


So we write

    5000 = {{{1000*2^t}}},

    {{{5000/1000}}} = {{{2^t}}}

    5 = {{{2^t}}}


Take logarithm base 2

    {{{log(2,(5))}}} = t

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

<U>ANSWER</U>.  2.322 hours,  or 2 hours 19 minutes and 19 seconds (approximately).
</pre>

Solved.


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To see many other similar and different solved problems on bacteria growth, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/logarithm/Bacteria-growth-problems.lesson>Bacteria growth problems</A> 

in this site.


Also, &nbsp;you have this free of charge online textbook in ALGEBRA-I in this site

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson>ALGEBRA-I - YOUR ONLINE TEXTBOOK</A>.


The referred lesson is the part of this online textbook under the topic "<U>Logarithms</U>".



Save the link to this online textbook together with its description


Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson


to your archive and use it when it is needed.