document.write( "Question 1006436: A population of rabbits triples every 2 months. If there are 2 rabbits initially, how long will it take for the population to increase to 500 rabbits? \n" ); document.write( "

Algebra.Com's Answer #622568 by josgarithmetic(39625) $\"\"$ $\"About$

You can put this solution on YOUR website!
p for population
\n" ); document.write( "t for count of months\r
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\n" ); document.write( "\n" ); document.write( "Exponential growth model, $\"p=2%2A3%5Et\"$ \r
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\n" ); document.write( "\n" ); document.write( "You can plug in successive values for t and plot points and read from the graph, or you can try:
\n" ); document.write( " $\"log%28%28p%29%29=log%28%282%29%29%2Blog%28%283%5Et%29%29\"$
\n" ); document.write( " $\"log%28%28p%29%29=log%28%282%29%29%2Bt%2Alog%28%283%29%29\"$
\n" ); document.write( " $\"log%28%28p%29%29-log%28%282%29%29%2Bt%2Alog%28%283%29%29\"$
\n" ); document.write( " $\"log%28%28p%2F2%29%29%281%2Flog%28%283%29%29%29=t\"$
\n" ); document.write( "and now p=500.
\n" ); document.write( " $\"t=log%28%28500%2F2%29%29%2Flog%28%283%29%29\"$
\n" ); document.write( " $\"highlight%28t=log%28%28250%29%29%2Flog%28%283%29%29%29\"$ \n" ); document.write( "

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