document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=694605>Question 694605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> e^4x-12e^2x+20=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #428050 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=428050\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> e^4x-12e^2x+20=0<BR>\n" );
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document.write( "It's a quadratic in variable e^(2x):<BR>\n" );
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document.write( "(e^(2x))^2 -12e^(2x) +20 = 0<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "(e^(2x))-10e^(2x)-2e^(2x) + 20 = 0<BR>\n" );
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document.write( "e^(2x)[e^(2x)-10] - 2[e^(2x)-10] = 0<BR>\n" );
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document.write( "(e^(2x)-10)(e^(2x)-2) = 0<BR>\n" );
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document.write( "e^(2x) = 10 or e^(2x) = 2<BR>\n" );
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document.write( "2x = ln(10) or 2x = ln(2)<BR>\n" );
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document.write( "x = ln(10)/2 or x = ln(2)/2<BR>\n" );
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document.write( "x = ln(sqrt(10)) or x = ln(sqrt(2))<BR>\n" );
document.write( "========================================<BR>\n" );
document.write( "cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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