document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865315>Question 865315</A>: <I><SPAN STYLE=\"word-break: break-all;\"> express as a single logarithm and if possible simplify\r<BR>\n" );
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document.write( "log(x^2+x-6)-log(x^2-9) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521612 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=521612\">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%5E2%2Bx-6%29%29-log%28%28x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%5E2%2Bx-6%29%29-log%28%28x%5E2-9%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%28%28x%5E2%2Bx-6%29%2F%28x%5E2-9%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%28%28x%5E2%2Bx-6%29%2F%28x%5E2-9%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use rule 2 from <a  rel=nofollow HREF=\"http://www.purplemath.com/modules/logrules.htm\">this page</a>\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28%28x%2B3%29%28x-2%29%29%2F%28x%5E2-9%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%28%28%28x%2B3%29%28x-2%29%29%2F%28x%5E2-9%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the numerator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28%28x%2B3%29%28x-2%29%29%2F%28%28x-3%29%28x%2B3%29%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%28%28%28x%2B3%29%28x-2%29%29%2F%28%28x-3%29%28x%2B3%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28highlight%28%28x%2B3%29%29%28x-2%29%29%2F%28%28x-3%29highlight%28%28x%2B3%29%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Highlight common terms\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28cross%28%28x%2B3%29%29%28x-2%29%29%2F%28%28x-3%29cross%28%28x%2B3%29%29%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%28%28cross%28%28x%2B3%29%29%28x-2%29%29%2F%28%28x-3%29cross%28%28x%2B3%29%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cancel out those common terms (they divide to 1 and go away, since 1*any number = any number)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28x-2%29%2F%28x-3%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%28%28x-2%29%2F%28x-3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28x%5E2%2Bx-6%29%29-log%28%28x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%5E2%2Bx-6%29%29-log%28%28x%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28x-2%29%2F%28x-3%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%28%28x-2%29%2F%28x-3%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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