document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=26360>Question 26360</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the integral values of x, y, and z that satisfy all of the following equations:<BR>\n" );
document.write( "z^x = y^2x<BR>\n" );
document.write( "2^z = (2)(4^x)<BR>\n" );
document.write( "x+y+z=16\r<BR>\n" );
document.write( "\n" );
document.write( "I'd appreciate the help!<BR>\n" );
document.write( "P.S. Thanks to longjonsilver(1462)for recognizing the problem's mistake. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #14330 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=14330\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> z^x=(y^2)^x implies that z=y^2 or y=sqrt(z)<BR>\n" );
document.write( "2^z=2^(3x) implies that z=3x<BR>\n" );
document.write( "Therefore y=sqrt(3x)<BR>\n" );
document.write( "But x+y+z=16<BR>\n" );
document.write( "So, x+sqrt(3x)+3x=16<BR>\n" );
document.write( "This can be solved for \"x\".<BR>\n" );
document.write( "Using that you can find values for y and z.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );