document.write( "Question 1161540: Population of a particular bacterial colony; i.e. the number of cells at time t (hours) is given by the function (N(t)=N0^e^kt) where k is the growth constant
\n" ); document.write( "When this bacterium is grown under ideal laboratory conditions, the number of
\n" ); document.write( "cells in a culture doubles every 30 minutes. Find the value of k to 2 decimal
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Algebra.Com's Answer #785130 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "You start from N = N(0) bacteria.\r\n" );
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document.write( "After 30 minutes, you have 2N(o) bacteria, which gives you THIS EQUATION\r\n" );
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document.write( "    2N(0) = \"N%280%29%2Ae%5E%28k%2A30%29\".\r\n" );
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document.write( "Next, you divide both sides by N(0). You get then \r\n" );
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document.write( "    2 = \"e%5E%28k%2A30%29\".\r\n" );
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document.write( "Now, you take natural logarithm of both sides\r\n" );
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document.write( "    ln(2) = 30k.\r\n" );
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document.write( "Hence,  k = \"ln%28%282%29%29%2F30\" = USE YOUR CALCULATOR = 0.023105\r\n" );
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document.write( "and you can round this value AS YOU WANT.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On this subject,  see my lesson\r
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\n" ); document.write( "\n" ); document.write( "From this lesson you may learn everything, what a student should know about it . . . \r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Logarithms\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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