document.write( "Question 373067: suppose a population of bacteria in a petri dish has a doubling time of 7.5 hours, how long will it take for an initial population of 11500 bacteria to reach 32000? Round to the second decimal point. \n" ); document.write( "
Algebra.Com's Answer #265622 by amoresroy(361)\"\" \"About 
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suppose a population of bacteria in a petri dish has a doubling time of 7.5 hours, how long will it take for an initial population of 11500 bacteria to reach 32000? Round to the second decimal point.\r
\n" ); document.write( "\n" ); document.write( "Let t = the number of hours it take for an initial population of 11500
\n" ); document.write( " bacteria to reach 32000\r
\n" ); document.write( "\n" ); document.write( "11,500*2^(t/7.5) = 32,000
\n" ); document.write( " 2^(t/7.5) = 32,000/11,500
\n" ); document.write( " 2^(t/7.5) = 2.7826
\n" ); document.write( "Log both sides
\n" ); document.write( " Log 2^(t/7.5) = Log 2.7826
\n" ); document.write( " (t/7.5)Log 2 = 0.44445
\n" ); document.write( " (t/7.5) = 0.44445/0.3010
\n" ); document.write( " t = 11.07\r
\n" ); document.write( "\n" ); document.write( "It will take 11.07 hours for an initial population of 11500 bacteria to reach 32000.\r
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