document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=267905>Question 267905</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having difficulty on the steps to solve this equation:\r<BR>\n" );
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document.write( "e^-x = (e^4)^x+3\r<BR>\n" );
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document.write( "Any help would be greatly appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #196569 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=196569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume the problem is:<BR>\n" );
document.write( "<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;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28e%5E4%29%5E%28x%2B3%29 ALIGN=MIDDLE  ALT=\"%28e%5E4%29%5E%28x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Use the nat logs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28e%5E%28-x%29%29 ALIGN=MIDDLE  ALT=\"ln%28e%5E%28-x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28e%5E4%29%5E%28x%2B3%29%29 ALIGN=MIDDLE  ALT=\"ln%28%28e%5E4%29%5E%28x%2B3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "use the log equiv of exponents<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2Aln%28e%29 ALIGN=MIDDLE  ALT=\"-x%2Aln%28e%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%2Aln%28e%5E4%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%2Aln%28e%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "we know the ln of e = 1, and ln(e^4) = 4, therefore it is greatly simplified<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2A1 ALIGN=MIDDLE  ALT=\"-x%2A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B3%29%2A%284%29 ALIGN=MIDDLE  ALT=\"%28x%2B3%29%2A%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-x = 4(x+3)<BR>\n" );
document.write( "-x = 4x + 12<BR>\n" );
document.write( "-12 = 4x + x<BR>\n" );
document.write( "-12 = 5x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2F5 ALIGN=MIDDLE  ALT=\"-12%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Check this on your calc<BR>\n" );
document.write( "enter e^(-(-12/5)) = 11.023<BR>\n" );
document.write( "enter (e^4)^((-12/5)+3)= 11.023, equality reigns\r<BR>\n" );
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document.write( "  </SPAN>\n" );
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