document.write( "Question 240895: please help me solve this, i cannot get it: the number of bacteria present in a culture after t minutes is given as B=100e^kt. If there are 3367 bacteria present after 8 minutes, find k. \n" ); document.write( "
Algebra.Com's Answer #176478 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
the number of bacteria present in a culture after t minutes is given as B=100e^kt.
\n" ); document.write( "If there are 3367 bacteria present after 8 minutes, find k.
\n" ); document.write( ":
\n" ); document.write( "Replace t with 8 and B with 3367
\n" ); document.write( ":
\n" ); document.write( "100e^(8k) = 3367
\n" ); document.write( ":
\n" ); document.write( "Divide both sides by 100
\n" ); document.write( "e^(8k) = \"3367%2F100\"
\n" ); document.write( ":
\n" ); document.write( "e^(8k) = 33.67
\n" ); document.write( ":
\n" ); document.write( "Find the nat log of both side,
\n" ); document.write( "ln(e^8k) = ln(33.67)
\n" ); document.write( ":
\n" ); document.write( "8k*ln(e) = ln(33.67
\n" ); document.write( ":
\n" ); document.write( "nat log of e is 1
\n" ); document.write( "8k = 3.5166
\n" ); document.write( ":
\n" ); document.write( "k = \"3.5166%2F8\"
\n" ); document.write( "k = .4396
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution on a good calc: enter 100*e^(8*.4396) ~ 3367
\n" ); document.write( " \n" ); document.write( "
\n" );