document.write( "Question 1147675: The count in a bacteria culture was 200 after 15 minutes and 2000 after 40 minutes. Assuming the count grows exponentially,\r
\n" ); document.write( "\n" ); document.write( "what is the doubling period?
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Algebra.Com's Answer #769025 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
\"+P+=+P%280%29%2A%28+1+%2B+r+%29%5Et+\"
\n" ); document.write( "\"+200+=+P%280%29%2A%28+1+%2B+r+%29%5E15+\"
\n" ); document.write( "\"+200%2FP%280%29+=+%28+1+%2B+r+%29%5E15+\"
\n" ); document.write( "and
\n" ); document.write( "\"+2000+=+P%280%29%2A%28+1+%2B+r+%29%5E40+\"
\n" ); document.write( "\"+2000%2FP%280%29+=+%28+1+%2B+r+%29%5E40+\"
\n" ); document.write( "\"+200%2FP%280%29+=+%281%2F10%29%2A%28+1+%2B+r+%29%5E40+\"
\n" ); document.write( "----------------------------------------
\n" ); document.write( "\"+%28+1+%2B+r+%29%5E15+=+%281%2F10%29%2A%28+1+%2B+r+%29%5E40+\"
\n" ); document.write( "divide both sides by \"+%28+1+%2B+r+%29%5E15+\"
\n" ); document.write( "\"+1+=+%281%2F10%29%2A%28+1+%2B+r+%29%5E25+\"
\n" ); document.write( "\"+10+=+%28+1+%2B+r+%29%5E25+\"
\n" ); document.write( "Take the log base 10 of both sides
\n" ); document.write( "\"+1+=+25%2Alog%28+1+%2B+r+%29+\"
\n" ); document.write( "\"+log%28+1+%2B+r+%29+=+.04+\"
\n" ); document.write( "\"+1+%2B+r+=+10%5E.04+\" ( I'll refer back to this step )
\n" ); document.write( "\"+1+%2B+r+=+1.09648+\"
\n" ); document.write( "\"+r+=+.09648+\"
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\n" ); document.write( "To find doubling period:
\n" ); document.write( "\"+2P%280%29+=+P%280%29%2A%28+1+%2B+r+%29%5Et+\"
\n" ); document.write( "\"+2+=+%28+1+%2B+r+%29%5Et+\"
\n" ); document.write( "Take log base 10 of both sides
\n" ); document.write( "\"+log%282%29+=+t%2Alog%28+10%5E.04+%29+\" ( from the above mentioned step )
\n" ); document.write( "\"+.30103+=+t%2A.04+\"
\n" ); document.write( "\"+t+=+7.526+\"
\n" ); document.write( "The doubling period is 7.526 min
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\n" ); document.write( "Get another opinion if needed
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