document.write( "Question 208100: Good afternoon! I am trying to solve this problem.
\n" ); document.write( "4000=2,000*e^(0.08)*t
\n" ); document.write( "4,000/2,000=e^0.08t
\n" ); document.write( "2=e^0.05t
\n" ); document.write( "ln2=0.08*t\r
\n" ); document.write( "\n" ); document.write( "I got this far and got stuck.
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Algebra.Com's Answer #157435 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
4000 = 2,000*e^(0.08)*t
\n" ); document.write( "4,000/2,000 = e^0.08t
\n" ); document.write( "2 = e^0.05t
\n" ); document.write( ":
\n" ); document.write( "Find the natural log of both sides
\n" ); document.write( "ln(2) = ln(e^(.08*t))
\n" ); document.write( ":
\n" ); document.write( "use the log equiv of exponents
\n" ); document.write( "ln(2) = .08t*ln(e)
\n" ); document.write( ":
\n" ); document.write( "The nat log of e is one, so we just have
\n" ); document.write( ".693 = .08t
\n" ); document.write( "t = \".693%2F.08\"
\n" ); document.write( "t = 8.66
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check solution on a calc: enter 2000*e^(.08*8.66) = 3993 ~ 4000
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