document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=972538>Question 972538</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln+%28%28x-3%29%28x%2B2%29%29+=+0 ALIGN=MIDDLE  ALT=\"ln+%28%28x-3%29%28x%2B2%29%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > for x. The only solutions of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28%281%2B+sqrtb%29%2F2%29 ALIGN=MIDDLE  ALT=\"x+=+%28%281%2B+sqrtb%29%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > what is b?\r<BR>\n" );
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document.write( "What I did: ln((x-3)(x+2)) <BR>\n" );
document.write( "            ln(x^2 -x-6)<BR>\n" );
document.write( "            a= 1 b = -1 c = -6 \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-%281%29+%2B-+sqrt%28%28-1%29%5E2+-+4%28a%29%28-6%29%29%29%2F2%281%29 ALIGN=MIDDLE  ALT=\"x+=+%28-%281%29+%2B-+sqrt%28%28-1%29%5E2+-+4%28a%29%28-6%29%29%29%2F2%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "that would come out to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%281+%2B-+sqrt%2825%29%29%2F2 ALIGN=MIDDLE  ALT=\"x+=+%281+%2B-+sqrt%2825%29%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Where did I go wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #594836 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=594836\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You need to convert the problem to a quadratic form.  You had an ln(quadratic form).  One thing to do is to graph it, and just see what it looks like.\r<BR>\n" );
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document.write( "The way I like to deal with ln is raise everything to the e power.  Then you have a quadratic =1, and you can deal with it accordingly.\r<BR>\n" );
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document.write( "Raise everything to the e power<BR>\n" );
document.write( "(x-3)(x+2)=1\r<BR>\n" );
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document.write( "x^2-x-7=0<BR>\n" );
document.write( "[1 +/- sqrt (1+28)]/2 \r<BR>\n" );
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document.write( "x=3.19  and -2.19\r<BR>\n" );
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document.write( "b=28\r<BR>\n" );
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document.write( "substitute in  ln (0.19)(5.19) is very close to 1, and ln (1)=0\r<BR>\n" );
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document.write( "ln (-5.19)((-0.19)  is the same,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph+%28300%2C300%2C-10%2C10%2C-10%2C10%2Cln%28%28x-3%29%28x%2B2%29%29%29 ALIGN=MIDDLE  ALT=\"+graph+%28300%2C300%2C-10%2C10%2C-10%2C10%2Cln%28%28x-3%29%28x%2B2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
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