document.write( "Question 1206832: The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years later there are 320 rabbits.
\n" ); document.write( "(a) estimate how long it takes for the population of rabbits to reach 1000 rabbits.
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Algebra.Com's Answer #844504 by josgarithmetic(39618)\"\" \"About 
You can put this solution on YOUR website!
Model as \"y=ab%5Ex\"\r
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\n" ); document.write( "\n" ); document.write( "\"ab%5Ex=y\"
\n" ); document.write( "\"5b%5E5=320\"\r
\n" ); document.write( "\n" ); document.write( "\"b%5E5=64\"\r
\n" ); document.write( "\n" ); document.write( "\"b=64%5E%281%2F5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=64%5E%280.2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"b=2.2974\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Model in this form is \"highlight_green%28y=5%282.2974%29%5Ex%29\".\r
\n" ); document.write( "\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( ".
\n" ); document.write( " \"2.2974%5Ex=1000%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"log%28%282.2974%5Ex%29%29=log%28%28200%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=log%28%282.2974%29%29=log%28%282%2A100%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=log%28%282%2A100%29%29%2Flog%28%282.2974%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%28log%28%282%29%29%2Blog%28%28100%29%29%29%2Flog%28%282.2974%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%28log%28%282%29%29%2B2%29%2Flog%28%282.2974%29%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x=6.369869\"\r
\n" ); document.write( "\n" ); document.write( "or x, about 6 years 4 months
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