document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919449>Question 919449</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x: log(x + 9) = 1 - log(x - 8)<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557744 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=557744\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 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=log%28%28x+%2B+9%29%29+=+1+-+log%28%28x+-+8%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x+%2B+9%29%29+=+1+-+log%28%28x+-+8%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+%2B+9%29%29%2Blog%28%28x+-+8%29%29+=+1+ ALIGN=MIDDLE  ALT=\"log%28%28x+%2B+9%29%29%2Blog%28%28x+-+8%29%29+=+1+\"   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+%2B+9%29%28x+-+8%29%29+=+1+ ALIGN=MIDDLE  ALT=\"log%28%28x+%2B+9%29%28x+-+8%29%29+=+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >....since you have log base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10 ALIGN=MIDDLE  ALT=\"10\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%2810%29=1 ALIGN=MIDDLE  ALT=\"log%2810%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, we can write\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28x+%2B+9%29%28x+-+8%29%29+=+log%2810%29+ ALIGN=MIDDLE  ALT=\"log%28%28x+%2B+9%29%28x+-+8%29%29+=+log%2810%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...now we have log=log, then we can say that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+9%29%28x+-+8%29+=+10+ ALIGN=MIDDLE  ALT=\"%28x+%2B+9%29%28x+-+8%29+=+10+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........now 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%5E2-8x+%2B+9x+-+72+=+10+ ALIGN=MIDDLE  ALT=\"x%5E2-8x+%2B+9x+-+72+=+10+\"   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+-+72+-+10=0+ ALIGN=MIDDLE  ALT=\"x%5E2%2Bx+-+72+-+10=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%2Bx+-82=0+ ALIGN=MIDDLE  ALT=\"x%5E2%2Bx+-82=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >........use quadratic formula to 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+=+%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+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A%28-82%29+%29%29%2F%282%2A1%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B-+sqrt%28+1%5E2-4%2A1%2A%28-82%29+%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+=+%28-1+%2B-+sqrt%28+1%2B328+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B-+sqrt%28+1%2B328+%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+=+%28-1+%2B-+sqrt%28+329+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B-+sqrt%28+329+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ...you can leave like this or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1+%2B-+18.13835714721705%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B-+18.13835714721705%29%2F2+\"   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( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1+%2B18.13835714721705%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+%2B18.13835714721705%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+17.13835714721705%2F2+ ALIGN=MIDDLE  ALT=\"x+=+17.13835714721705%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=highlight%28x=8.569178573608527%29 ALIGN=MIDDLE  ALT=\"highlight%28x=8.569178573608527%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >........<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28exact%29 ALIGN=MIDDLE  ALT=\"highlight%28exact%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x+=+8.57%29+ ALIGN=MIDDLE  ALT=\"highlight%28x+=+8.57%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >......rounded\r<BR>\n" );
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document.write( "or\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-1+-18.14%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-1+-18.14%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-19.14%2F2+ ALIGN=MIDDLE  ALT=\"x+=+-19.14%2F2+\"   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+=+-9.57+ ALIGN=MIDDLE  ALT=\"x+=+-9.57+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ...we  don't need negative solution for log\r<BR>\n" );
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document.write( "check: use <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28exact%29 ALIGN=MIDDLE  ALT=\"highlight%28exact%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > solution\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%288.569178573608527+%2B+9%29%29+=+1+-+log%28%288.569178573608527+-+8%29%29 ALIGN=MIDDLE  ALT=\"log%28%288.569178573608527+%2B+9%29%29+=+1+-+log%28%288.569178573608527+-+8%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%2817.569178573608527+%29%29+=+1+-+log%28%280.569178573608527%29%29 ALIGN=MIDDLE  ALT=\"log%28%2817.569178573608527+%29%29+=+1+-+log%28%280.569178573608527%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=1.244751457=1-%28-0.244751457039491%29 ALIGN=MIDDLE  ALT=\"1.244751457=1-%28-0.244751457039491%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=1.244751457=1%2B0.244751457039491 ALIGN=MIDDLE  ALT=\"1.244751457=1%2B0.244751457039491\"   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=1.244751457=1.244751457 ALIGN=MIDDLE  ALT=\"1.244751457=1.244751457\"   DISABLED_style= \"max-width:90%; height:auto;\" >-true<BR>\n" );
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