document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=341176>Question 341176</A>: <I><SPAN STYLE=\"word-break: break-all;\"> x^log(x)= 10000/x\r<BR>\n" );
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document.write( "What is the product of the solutions?\r<BR>\n" );
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document.write( "I have simplified it to (log (x))^2 + log (x) = 4, but can't solve that equation. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244264 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=244264\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x^log(x)= 10000/x<BR>\n" );
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document.write( "Multiply both sides by x to get:<BR>\n" );
document.write( "x*x^[log(x)] = 10000<BR>\n" );
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document.write( "Simplify:<BR>\n" );
document.write( "x^(1+log(x)] = 10000<BR>\n" );
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document.write( "I graphed the left side as Y1 and the right side as Y2.<BR>\n" );
document.write( "I found the intersection at x = 36.4379<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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