document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1150548>Question 1150548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve 4^x + 6^x = 9^x<BR>\n" );
document.write( "I understand the math behind the answer to this problem, but what I’d like to know, is there a regimented way to approach this problem and similar ones? Or is it just a  hit and miss application of mathematical laws with the hope of hitting the right combination, or just being lucky? Is there a branch of mathematics that teaches methodical ways of solving math problems without relying on a eureka moment?<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #771912 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=771912\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve 4^x + 6^x = 9^x<BR>\n" );
document.write( "I understand the math behind the answer to this problem, but what I’d like to know, is there a regimented way to approach this problem and similar ones? Or is it just a  hit and miss application of mathematical laws with the hope of hitting the right combination, or just being lucky? Is there a branch of mathematics that teaches methodical ways of solving math problems without relying on a eureka moment?<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Ed<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "1st thing you notice is there's no integer solution for x.<BR>\n" );
document.write( "The sum of 2 even numbers is not an odd number.<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Have to use iterative or graphical methods.<BR>\n" );
document.write( "x =~ 1.18681439<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );