document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37837>Question 37837</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if a^b=b^a and a=2b then find the value of a^2+b^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23341 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23341\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay, here goes...step by step<BR>\n" );
document.write( "a^b = b^a  and a = 2b<BR>\n" );
document.write( "Thus by substitution<BR>\n" );
document.write( "(2b)^b = b^(2b)<BR>\n" );
document.write( "2^b x b^b = (b^b)^2<BR>\n" );
document.write( "Now divide by b^b and get<BR>\n" );
document.write( "2^b = b^b<BR>\n" );
document.write( "Thus b = 2<BR>\n" );
document.write( "and <BR>\n" );
document.write( "a = 4 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );