document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=197296>Question 197296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation\r<BR>\n" );
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document.write( "5/1+2e^-x = 4\r<BR>\n" );
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document.write( "please help me solve the equation </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #147933 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=147933\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%281%2B2e%5E%28-x%29%29=4 ALIGN=MIDDLE  ALT=\"5%2F%281%2B2e%5E%28-x%29%29=4\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5=4%281%2B2e%5E%28-x%29%29 ALIGN=MIDDLE  ALT=\"5=4%281%2B2e%5E%28-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply both sides by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B2e%5E%28-x%29 ALIGN=MIDDLE  ALT=\"1%2B2e%5E%28-x%29\"   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=5=4%2B8e%5E%28-x%29 ALIGN=MIDDLE  ALT=\"5=4%2B8e%5E%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5-4=8e%5E%28-x%29 ALIGN=MIDDLE  ALT=\"5-4=8e%5E%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4 from both sides\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=8e%5E%28-x%29 ALIGN=MIDDLE  ALT=\"1=8e%5E%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8=e%5E%28-x%29 ALIGN=MIDDLE  ALT=\"1%2F8=e%5E%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 8\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8=1%2Fe%5Ex ALIGN=MIDDLE  ALT=\"1%2F8=1%2Fe%5Ex\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E%28-x%29 ALIGN=MIDDLE  ALT=\"e%5E%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fe%5Ex ALIGN=MIDDLE  ALT=\"1%2Fe%5Ex\"   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%5Ex=8 ALIGN=MIDDLE  ALT=\"e%5Ex=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%288%29 ALIGN=MIDDLE  ALT=\"x=ln%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Take the natural log of both sides (to eliminate the base \"e\" and isolate \"x\")\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=ln%288%29 ALIGN=MIDDLE  ALT=\"x=ln%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which approximates to <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x \approx 2.07944\"> </SPAN>\n" );
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