document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=777869>Question 777869</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x^2+y^2=10xy, prove that 2 log ( x+y/x-y)=log 3/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #474295 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=474295\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^2+y^2=10xy\r<BR>\n" );
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document.write( "x^2+2xy+y^2=10xy+2xy\r<BR>\n" );
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document.write( "(x+y)^2= 10xy+2xy\r<BR>\n" );
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document.write( "(x+y)^2=12xy\r<BR>\n" );
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document.write( "x^2+y^2=10xy\r<BR>\n" );
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document.write( "x^2-2xy+y^2=10xy-2xy\r<BR>\n" );
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document.write( "(x-y)^2=8xy\r<BR>\n" );
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document.write( "2 log ( x+y/x-y)=log 3/2\r<BR>\n" );
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document.write( "LHS <BR>\n" );
document.write( "2 log ( x+y/x-y)\r<BR>\n" );
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document.write( "log((x+y)/(x-y))^2\r<BR>\n" );
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document.write( "=log((x+y)^2/(x-y)^2)\r<BR>\n" );
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document.write( "=log (12xy/8xy)\r<BR>\n" );
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document.write( "= log3/2=RHS </SPAN>\n" );
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