document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=60417>Question 60417</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4^x-2^x=0<BR>\n" );
document.write( "slove 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 #41516 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=41516\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 4^x-2^x=0<BR>\n" );
document.write( "slove the equation.<BR>\n" );
document.write( "put 2^x=y<BR>\n" );
document.write( "4^x = [2^2]^x=2^(2x)=[2^x]^2=y^2<BR>\n" );
document.write( "y^2-y=0<BR>\n" );
document.write( "y(y-1)=0<BR>\n" );
document.write( "y=0.....or......y=1<BR>\n" );
document.write( "2^x=0....not possible<BR>\n" );
document.write( "2^x=1<BR>\n" );
document.write( "x=0 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );