document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001259>Question 1001259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following equations:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ln%28x%2B4%29=ln%28x-8%29-ln%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+ln%28x%2B4%29=ln%28x-8%29-ln%28x%2B1%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=+log6+%282-x%29+%2B+log6+%2811-x%29+=+2+ ALIGN=MIDDLE  ALT=\"+log6+%282-x%29+%2B+log6+%2811-x%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618489 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=618489\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ln%28x%2B4%29=ln%28x-8%29-ln%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+ln%28x%2B4%29=ln%28x-8%29-ln%28x%2B1%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=+ln%28x%2B4%29=ln%28%28x-8%29%2F%28x%2B1%29%29+ ALIGN=MIDDLE  ALT=\"+ln%28x%2B4%29=ln%28%28x-8%29%2F%28x%2B1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........if log same, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B4%29=%28x-8%29%2F%28x%2B1%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B4%29=%28x-8%29%2F%28x%2B1%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=+%28x%2B4%29%28x%2B1%29=%28x-8%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B4%29%28x%2B1%29=%28x-8%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%5E2%2Bx%2B4x%2B4=x-8+ ALIGN=MIDDLE  ALT=\"+x%5E2%2Bx%2B4x%2B4=x-8+\"   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%5E2%2Bcross%28x%29%2B4x%2B4-cross%28x%29%2B8=0+ ALIGN=MIDDLE  ALT=\"+x%5E2%2Bcross%28x%29%2B4x%2B4-cross%28x%29%2B8=0+\"   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%5E2%2B4x%2B12=0+ ALIGN=MIDDLE  ALT=\"+x%5E2%2B4x%2B12=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >....use quadratic formula\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+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A12+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%28+4%5E2-4%2A1%2A12+%29%29%2F%282%2A1%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+=+%28-4+%2B-+sqrt%28+16-48+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%28+16-48+%29%29%2F2+\"   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+=+%28-4+%2B-+sqrt%28+-32+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%28+-32+%29%29%2F2+\"   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+=+%28-4+%2B-+sqrt%28+-16%2A2+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+sqrt%28+-16%2A2+%29%29%2F2+\"   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+=+%28-4+%2B-+4i%2Asqrt%28+2+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-4+%2B-+4i%2Asqrt%28+2+%29%29%2F2+\"   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+=+%28-2+%2B-+2i%2Asqrt%28+2+%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B-+2i%2Asqrt%28+2+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+%2B+2i%2Asqrt%28+2+%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+%2B+2i%2Asqrt%28+2+%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-2+-+2i%2Asqrt%28+2+%29%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-2+-+2i%2Asqrt%28+2+%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%286+%2C%282-x%29%29+%2B+log%286%2C+%2811-x%29%29+=+2+ ALIGN=MIDDLE  ALT=\"+log%286+%2C%282-x%29%29+%2B+log%286%2C+%2811-x%29%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >....change the base\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%282-x%29%29%2Flog%28%286%29%29++%2B+log%28+%2811-x%29%29%2Flog%28%286%29%29+=+2+ ALIGN=MIDDLE  ALT=\"+log%28%282-x%29%29%2Flog%28%286%29%29++%2B+log%28+%2811-x%29%29%2Flog%28%286%29%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%28%282-x%29%29++%2B+log%28+%2811-x%29%29%29%2Flog%28%286%29%29+=+2+ ALIGN=MIDDLE  ALT=\"+%28log%28%282-x%29%29++%2B+log%28+%2811-x%29%29%29%2Flog%28%286%29%29+=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%28%282-x%29%29++%2B+log%28+%2811-x%29%29%29+=+2log%28%286%29%29+ ALIGN=MIDDLE  ALT=\"+%28log%28%282-x%29%29++%2B+log%28+%2811-x%29%29%29+=+2log%28%286%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%282-x%29%2811-x%29%29+=+log%28%286%5E2%29%29+ ALIGN=MIDDLE  ALT=\"+log%28%282-x%29%2811-x%29%29+=+log%28%286%5E2%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%282-x%29%2811-x%29%29+=+log%28%2836%29%29+ ALIGN=MIDDLE  ALT=\"+log%28%282-x%29%2811-x%29%29+=+log%28%2836%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....if log same, we have\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282-x%29%2811-x%29+=+36+ ALIGN=MIDDLE  ALT=\"+%282-x%29%2811-x%29+=+36+\"   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" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+22-2x-11x%2Bx%5E2+=+36+ ALIGN=MIDDLE  ALT=\"+22-2x-11x%2Bx%5E2+=+36+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2-13x+%2B22-36=0+ ALIGN=MIDDLE  ALT=\"+x%5E2-13x+%2B22-36=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2-13x+-14=0+ ALIGN=MIDDLE  ALT=\"+x%5E2-13x+-14=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%5E2%2Bx-14x+-14=0+ ALIGN=MIDDLE  ALT=\"+x%5E2%2Bx-14x+-14=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+x%5E2%2Bx%29-%2814x+%2B14%29=0+ ALIGN=MIDDLE  ALT=\"%28+x%5E2%2Bx%29-%2814x+%2B14%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28+x%2B1%29-14%28x+%2B1%29=0+ ALIGN=MIDDLE  ALT=\"x%28+x%2B1%29-14%28x+%2B1%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-14%29%28x+%2B1%29=0+ ALIGN=MIDDLE  ALT=\"%28x-14%29%28x+%2B1%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "solutions:\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-14%29=0+ ALIGN=MIDDLE  ALT=\"%28x-14%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=14 ALIGN=MIDDLE  ALT=\"x=14\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> disregard it it will make log of negative number which is undefined\r<BR>\n" );
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document.write( "if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B1%29=0+ ALIGN=MIDDLE  ALT=\"%28x+%2B1%29=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );