document.write( "Question 251387: The bacteria E Coli are found in the human bladder. Suppose 2,000 bacteria are present at time t = 0. Then, t minutes later the number of bacteria present can be approximated by N(t) = 2000(3)t/12. \r
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\n" ); document.write( "\n" ); document.write( "How many bacteria will be present after 40 minutes?\r
\n" ); document.write( "\n" ); document.write( "How long will it take before there are 100,000 bacteria present?
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Algebra.Com's Answer #183084 by josmiceli(19441)\"\" \"About 
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\"N%28t%29+=+2000%2A3%5E%28t%2F12%29\"
\n" ); document.write( "given:
\n" ); document.write( "\"t+=+40\" min
\n" ); document.write( "\"N%2840%29+=+2000%2A3%5E%2840%2F12%29\"
\n" ); document.write( "\"N%2840%29+=+2000%2A3%5E%2810%2F3%29\"
\n" ); document.write( "\"N%2840%29+=+2000%2A38.94\"
\n" ); document.write( "\"N%2840%29+=+77881\"
\n" ); document.write( "-----------------
\n" ); document.write( "given:
\n" ); document.write( "\"N%28t%29+=+100000\"
\n" ); document.write( "\"100000+=2000%2A3%5E%28t%2F12%29\"
\n" ); document.write( "\"50+=+3%5E%28t%2F12%29\"
\n" ); document.write( "Take the log of both sides
\n" ); document.write( "\"log%2850%29+=+log%283%5E%28t%2F12%29%29\"
\n" ); document.write( "\"1.69897+=+%28t%2F12%29%2Alog%283%29\"
\n" ); document.write( "\"1.69897+=+.47712%2A%28t%2F12%29\"
\n" ); document.write( "\"t%2F12+=+1.69897%2F.47712\"
\n" ); document.write( "\"t%2F12+=+3.56088\"
\n" ); document.write( "\"t+=+42.73\" min
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