document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=119567>Question 119567</A>: <I><SPAN STYLE=\"word-break: break-all;\"> can you please explain this to me step by step so i can understand it.\r<BR>\n" );
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document.write( "log(3-2x) - log (x+9)=0\r<BR>\n" );
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document.write( "i hope you can help me understand this\r<BR>\n" );
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document.write( "thank you <BR>\n" );
document.write( "julie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87666 by </B><A HREF=/tutors/aboutme.mpl?userid=MaxLiebling><B>MaxLiebling(13)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MaxLiebling><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=87666\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the given equation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283-2x%29%29+-+log%28%28x%2B9%29%29+=+0 ALIGN=MIDDLE  ALT=\"log%28%283-2x%29%29+-+log%28%28x%2B9%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28x%2B9%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283-2x%29%29+=+log%28%28x%2B9%29%29 ALIGN=MIDDLE  ALT=\"log%28%283-2x%29%29+=+log%28%28x%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "Note: logarithm is a strictly increasing function AND on both sides you have nothing but a Log(...) -> drop Log:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-2x+=+x%2B9 ALIGN=MIDDLE  ALT=\"3-2x+=+x%2B9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "add <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x-9 ALIGN=MIDDLE  ALT=\"2x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" > to both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-2x%29+%2B+%282x-9%29+=+%28x%2B9%29+%2B+%282x-9%29 ALIGN=MIDDLE  ALT=\"%283-2x%29+%2B+%282x-9%29+=+%28x%2B9%29+%2B+%282x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "calculate left side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283-2x%29+%2B+%282x-9%29 ALIGN=MIDDLE  ALT=\"%283-2x%29+%2B+%282x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+%28-2x%2B2x%29-9%29 ALIGN=MIDDLE  ALT=\"3+%2B+%28-2x%2B2x%29-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3+%2B+0+-9%29 ALIGN=MIDDLE  ALT=\"3+%2B+0+-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%29 ALIGN=MIDDLE  ALT=\"-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "calculate right side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B9%29+%2B+%282x-9%29 ALIGN=MIDDLE  ALT=\"%28x%2B9%29+%2B+%282x-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2x%29+%2B+%289-9%29 ALIGN=MIDDLE  ALT=\"%28x%2B2x%29+%2B+%289-9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B2x%29+%2B+0 ALIGN=MIDDLE  ALT=\"%28x%2B2x%29+%2B+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%29 ALIGN=MIDDLE  ALT=\"3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "combine both sides:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%29 ALIGN=MIDDLE  ALT=\"-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%29 ALIGN=MIDDLE  ALT=\"3x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "that is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x+=+-6%29 ALIGN=MIDDLE  ALT=\"3x+=+-6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "divide both sides by 3:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-6%2F3%29 ALIGN=MIDDLE  ALT=\"x+=+-6%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2F3%29 ALIGN=MIDDLE  ALT=\"-6%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%29 ALIGN=MIDDLE  ALT=\"-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-2%29 ALIGN=MIDDLE  ALT=\"x+=+-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "proof left hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283-2x%29%29 ALIGN=MIDDLE  ALT=\"log%28%283-2x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283-2%2A%28-2%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%283-2%2A%28-2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283-%282%2A%28-2%29%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%283-%282%2A%28-2%29%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283-%28-4%29%29%29 ALIGN=MIDDLE  ALT=\"log%28%283-%28-4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%283%2B4%29%29 ALIGN=MIDDLE  ALT=\"log%28%283%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%287%29%29 ALIGN=MIDDLE  ALT=\"log%28%287%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "proof right hand side:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28x%2B9%29%29 ALIGN=MIDDLE  ALT=\"log%28%28x%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28%28-2%29%2B9%29%29 ALIGN=MIDDLE  ALT=\"log%28%28%28-2%29%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%28-2%2B9%29%29 ALIGN=MIDDLE  ALT=\"log%28%28-2%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%287%29%29 ALIGN=MIDDLE  ALT=\"log%28%287%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "both sides are equal: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%28%287%29%29 ALIGN=MIDDLE  ALT=\"log%28%287%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );