document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252127>Question 252127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this system for (x, y) :  2^x.4^y = 16  and 4^3x-2.(1/2)^y = 128 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183897 by </B><A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><B>vksarvepalli(154)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vksarvepalli><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=vksarvepalli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  2^x.4^y = 16 \r<BR>\n" );
document.write( "\n" );
document.write( "so  2^x.2^2y = 2^4 <BR>\n" );
document.write( "=>  2^(x+2y) = 2^4<BR>\n" );
document.write( "=>  x+2y=4  -------------- 1\r<BR>\n" );
document.write( "\n" );
document.write( "4^3x-2.(1/2)^y = 128<BR>\n" );
document.write( "=> 2^(6x-4).2^(-y) = 2^7<BR>\n" );
document.write( "=> 6x-4-y = 7<BR>\n" );
document.write( "=> 6x-y=11  -------------- 2\r<BR>\n" );
document.write( "\n" );
document.write( "solving equations 1 and 2 (multiply eq. 2 by 2 and add eq.1 )\r<BR>\n" );
document.write( "\n" );
document.write( "x=2<BR>\n" );
document.write( "y=1 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );