document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665932>Question 665932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log(x)-log(x-1)=log(3x+12) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414182 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414182\">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%28%28x%29%29-log%28%28x-1%29%29=log%28%283x%2B12%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%29%29-log%28%28x-1%29%29=log%28%283x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >..use Quotient Rule \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28x%29%29%2Flog%28%28x-1%29%29=log%28%283x%2B12%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%29%29%2Flog%28%28x-1%29%29=log%28%283x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28x%2F%28x-1%29%29%29=log%28%283x%2B12%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%2F%28x-1%29%29%29=log%28%283x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28x%2F%28x-1%29%29%29=log%28%283x%2B12%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%2F%28x-1%29%29%29=log%28%283x%2B12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....if log same, then\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2F%28x-1%29%29=%283x%2B12%29 ALIGN=MIDDLE  ALT=\"%28x%2F%28x-1%29%29=%283x%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....solve for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%283x%2B12%29%28x-1%29 ALIGN=MIDDLE  ALT=\"x=%283x%2B12%29%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3x%5E2-3x%2B12x-12 ALIGN=MIDDLE  ALT=\"x=3x%5E2-3x%2B12x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0=3x%5E2-3x-x%2B12x-12 ALIGN=MIDDLE  ALT=\"0=3x%5E2-3x-x%2B12x-12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%5E2%2B8x-12=0 ALIGN=MIDDLE  ALT=\"3x%5E2%2B8x-12=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >....use quadratic formula and find positive root (it IS possible to calculate the log of a negative number but you have to work in complex numbers)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+sqrt%288%5E2-4%2A3%2A%28-12%29+%29%29%2F%282%2A3%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%288%5E2-4%2A3%2A%28-12%29+%29%29%2F%282%2A3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+sqrt%2864%2B144%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%2864%2B144%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+sqrt%28208%29%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+sqrt%28208%29%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-8+%2B-+14.42%29%2F6+ ALIGN=MIDDLE  ALT=\"x+=+%28-8+%2B-+14.42%29%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+6.42%2F6+ ALIGN=MIDDLE  ALT=\"x+=+6.42%2F6+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+1.07+ ALIGN=MIDDLE  ALT=\"x+=+1.07+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.07%29-log%281.07-1%29=log%283%2A1.07%2B12%29 ALIGN=MIDDLE  ALT=\"log%281.07%29-log%281.07-1%29=log%283%2A1.07%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.07%29-log%280.07%29=log%283.21%2B12%29 ALIGN=MIDDLE  ALT=\"log%281.07%29-log%280.07%29=log%283.21%2B12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281.07%29-log%280.07%29=log%2815.21%29 ALIGN=MIDDLE  ALT=\"log%281.07%29-log%280.07%29=log%2815.21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.029-%28-1.154%29=1.18 ALIGN=MIDDLE  ALT=\"0.029-%28-1.154%29=1.18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0.029%2B1.154=1.18 ALIGN=MIDDLE  ALT=\"0.029%2B1.154=1.18\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.183=1.182 ALIGN=MIDDLE  ALT=\"1.183=1.182\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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