document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199481>Question 1199481</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x^2+y^2=146xy then show that 2*log(x-y)=4*log2+2*log3+logx+logy </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833396 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52799)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=833396\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The problem formulation is &nbsp;FATALLY &nbsp;INCORRECT.\r<BR>\n" );
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document.write( "The correct formulation is &nbsp;THIS\r<BR>\n" );
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document.write( "  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;If &nbsp;x^2 + y^2 = 146xy &nbsp;&nbsp;then show that  &nbsp;&nbsp;2*log(|x-y|) = 4*log(2)+2*log(3) + log(|x|) + log(|y|).\r<BR>\n" );
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document.write( "Using the absolute value signs is &nbsp;MANDATORY &nbsp;in this statement/identity.\r<BR>\n" );
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document.write( "Otherwise, &nbsp;you must restrict that everything under the logarithm function is positive.\r<BR>\n" );
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document.write( "It is because it is a rude mistake to state that \r<BR>\n" );
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document.write( "  &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;log(x^2) = 2*log(x);  &nbsp;&nbsp;log(xy) = log(x) + log(y)\r<BR>\n" );
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document.write( "without making restrictions that &nbsp;x &nbsp;and &nbsp;y &nbsp;are positive.\r<BR>\n" );
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document.write( "Without such restriction, &nbsp;you only may state that\r<BR>\n" );
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document.write( "    &nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;log(x^2) = 2*log(|x|);  &nbsp;&nbsp;log(xy) = log(|x|)+log(|y|).\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;The lowest possible score to the &nbsp;\" problem's creator \", \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;a ticket and a serious warning.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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