document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=682451>Question 682451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help. I need to solve this equation for t and I have no clue on how to do it. If you could please show the steps I would appreciate it very much.\r<BR>\n" );
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document.write( "(a)/(1+be^-kt)= (a/2)\r<BR>\n" );
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document.write( "This equation is asking for the time t at which the population size will be equal to half of its maximum (a/2). I need to solve for t. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #423212 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=423212\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Please help. I need to solve this equation for t and I have no clue on how to do it. If you could please show the steps I would appreciate it very much.\r<BR>\n" );
document.write( "\n" );
document.write( "(a)/(1+be^-kt)= (a/2)\r<BR>\n" );
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document.write( "This equation is asking for the time t at which the population size will be equal to half of its maximum (a/2). I need to solve for t.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%29%2F%281+%2B+be%5E%28-kt%29%29+=+a%2F2 ALIGN=MIDDLE  ALT=\"%28a%29%2F%281+%2B+be%5E%28-kt%29%29+=+a%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%281+%2B+be%5E%28-kt%29%29+=+2a ALIGN=MIDDLE  ALT=\"a%281+%2B+be%5E%28-kt%29%29+=+2a\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Cross-multiplying\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+be%5E%28-kt%29+=+2a%2Fa ALIGN=MIDDLE  ALT=\"1+%2B+be%5E%28-kt%29+=+2a%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1+%2B+be%5E%28-kt%29+=+2 ALIGN=MIDDLE  ALT=\"1+%2B+be%5E%28-kt%29+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=be%5E%28-kt%29+=+1 ALIGN=MIDDLE  ALT=\"be%5E%28-kt%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-kt%29+=+1%2Fb ALIGN=MIDDLE  ALT=\"e%5E%28-kt%29+=+1%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+%281%2Fb%29+=+-+kt ALIGN=MIDDLE  ALT=\"ln+%281%2Fb%29+=+-+kt\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28ln%281%2Fb%29%2F%28-+k%29+=+t%29 ALIGN=MIDDLE  ALT=\"highlight_green%28ln%281%2Fb%29%2F%28-+k%29+=+t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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