document.write( "Question 184656: the number of bacteria in a culture increased sixfold in 10 hours. Assuming natural growth, how long did it take their number to double? \n" ); document.write( "
Algebra.Com's Answer #138589 by ankor@dixie-net.com(22740)\"\" \"About 
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the number of bacteria in a culture increased sixfold in 10 hours.
\n" ); document.write( " Assuming natural growth, how long did it take their number to double?
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\n" ); document.write( "Let x = hourly growth constant
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\n" ); document.write( "1(x^10) = 6
\n" ); document.write( "10*log(x) = log(6)
\n" ); document.write( "10*log(x) = .778
\n" ); document.write( "log(x) = \".778%2F10\"
\n" ); document.write( "log(x) = .0778
\n" ); document.write( "x = 1.1962
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\n" ); document.write( "Find the time in hrs to double (t)
\n" ); document.write( "1.1962^t = 2
\n" ); document.write( "t*log(1.1962) = log(2)
\n" ); document.write( ".0778t = .301
\n" ); document.write( "t = \".301%2F.0778\"
\n" ); document.write( "t = 3.869 hrs to double
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\n" ); document.write( "Check solution in calc: enter 1.1962^3.869 = 1.9999~ 2\r
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