Question 1161540
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<pre>

You start from N = N(0) bacteria.


After 30 minutes, you have 2N(o) bacteria, which gives you THIS EQUATION


    2N(0) = {{{N(0)*e^(k*30)}}}.


Next, you divide both sides by N(0). You get then 

   
    2 = {{{e^(k*30)}}}.


Now, you take natural logarithm of both sides


    ln(2) = 30k.


Hence,  k = {{{ln((2))/30}}} = USE YOUR CALCULATOR = 0.023105


and you can round this value AS YOU WANT.
</pre>

Solved.


Is my explanation clear to you ?


If you still have questions, do not hesitate to ask me.


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On this subject, &nbsp;see my 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.


From this lesson you may learn everything, what a student should know about it . . . 


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 lessons are 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.