document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1149636>Question 1149636</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The formula D(t)= 6e^-0.1t can be used to find the number of milligrams (mg) D of a certain drug that is in a patient’s bloodstream after t hours, assuming that 6 mg of the drug is administered initially<BR>\n" );
document.write( "when t = 0.<BR>\n" );
document.write( "When the number of mg of the drug in the patient’s bloodstream reaches 2 mg, the drug<BR>\n" );
document.write( "needs to be administered again. Approximately how long until another injection needs to be<BR>\n" );
document.write( "administered? You must show this algebraically. You must set up and solve an exponential equation.<BR>\n" );
document.write( "Round your final answer to tenths place but do not round until the end. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #770991 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=770991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 6e^-0.1t = 2<BR>\n" );
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document.write( "e^-0.1t = 2/6 = 1/3<BR>\n" );
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document.write( "take the natural log of both sides<BR>\n" );
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document.write( "-0.1t = ln(1/3)<BR>\n" );
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document.write( "-0.1t = −1.0986<BR>\n" );
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document.write( "t = −1.0986/-0.1 = 10.986<BR>\n" );
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document.write( "in approimately 11 hours another injection must be given<BR>\n" );
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