document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=37816>Question 37816</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log (2-3x) - log x = log 2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #23336 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=23336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%282-3x%29+-+log%28x%29+=+log%282x%29+ ALIGN=MIDDLE  ALT=\"+log%282-3x%29+-+log%28x%29+=+log%282x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%282-3x%29%2Fx%29+=+log%282x%29+ ALIGN=MIDDLE  ALT=\"+log%28%282-3x%29%2Fx%29+=+log%282x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and now raise both sides to power 10:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282-3x%29%2Fx+=+2x+ ALIGN=MIDDLE  ALT=\"+%282-3x%29%2Fx+=+2x+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2-3x+=+2x%5E2+ ALIGN=MIDDLE  ALT=\"+2-3x+=+2x%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x%5E2+%2B+3x+-+2+=+0+ ALIGN=MIDDLE  ALT=\"+2x%5E2+%2B+3x+-+2+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(2x - 1)(x + 2) = 0<BR>\n" );
document.write( "so 2x-1 = 0 or x+2 = 0<BR>\n" );
document.write( "so x=1/2 or x=-2\r<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "put x=1/2 into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%282-3x%29+-+log%28x%29+=+log%282x%29+ ALIGN=MIDDLE  ALT=\"+log%282-3x%29+-+log%28x%29+=+log%282x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and all th elog terms are fine.\r<BR>\n" );
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document.write( "put x=-2 into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%282-3x%29+-+log%28x%29+=+log%282x%29+ ALIGN=MIDDLE  ALT=\"+log%282-3x%29+-+log%28x%29+=+log%282x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%288%29+-+log%28-2%29+=+log%28-4%29+ ALIGN=MIDDLE  ALT=\"+log%288%29+-+log%28-2%29+=+log%28-4%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and the last 2 log terms are not defined for this. So the answer to the question is x=1/2.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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