document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=375924>Question 375924</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to find a solution (x,y) for the following set of numbers....<BR>\n" );
document.write( "y=e^(4x)<BR>\n" );
document.write( "y=e^(2x)+6\r<BR>\n" );
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document.write( "I found x to be ln6/2 but i am not sure if that is right.... </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #267343 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=267343\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=e^(4x)<BR>\n" );
document.write( "y=e^(2x)+6\r<BR>\n" );
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document.write( "e^(2x)+6=e^(4x)\r<BR>\n" );
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document.write( "(e^2x)^2-e^(2x)-6=0\r<BR>\n" );
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document.write( "z^2-z-6=0\r<BR>\n" );
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document.write( "(z-3)(z+2)=0\r<BR>\n" );
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document.write( "z=3 or z=-2\r<BR>\n" );
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document.write( "e^2x=3 or e^2x=-2\r<BR>\n" );
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document.write( "2x=ln(3)\r<BR>\n" );
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document.write( "x=ln(3)/2\r<BR>\n" );
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document.write( "Answer: x=ln(3)/2<BR>\n" );
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