document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=173578>Question 173578</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Log(2x+1)+log(x-1)=log9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #128444 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=128444\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Log(2x+1)+log(x-1)=log9\r<BR>\n" );
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document.write( "log[(2x+1)(x-1)] = log9\r<BR>\n" );
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document.write( "(2x+1)(x-1) = 9\r<BR>\n" );
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document.write( "2x^2 - x -1 = 9\r<BR>\n" );
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document.write( "2x^2 - x - 10 = 0\r<BR>\n" );
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document.write( "2x^2 -5x + 4x - 10 = 0\r<BR>\n" );
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document.write( "x(2x-5) + 2(2x-5) = 0<BR>\n" );
document.write( "(2x-5)(x+2) = 0<BR>\n" );
document.write( "Realistic answer:<BR>\n" );
document.write( "x = 5/2<BR>\n" );
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document.write( "Comment: x=-2 is extraneous because it would make log(x+1) = log(-1)<BR>\n" );
document.write( "which has no meaning.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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