document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=668792>Question 668792</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the natural logarithmic equation algebraically. Approximate the result to three decimal places. <BR>\n" );
document.write( "1.) ln x + ln ( x + 3 ) = 1 <BR>\n" );
document.write( "2.) ln ( x + 1 ) - ln ( x - 2 ) = ln x^2 \r<BR>\n" );
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document.write( "Please help me! I need it by today I have been trying I don't get it:(  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #415844 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=415844\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(x) + ln(x+3) = 1\r<BR>\n" );
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document.write( "ln(x*(x+3) = 1\r<BR>\n" );
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document.write( "e^(ln(x*(x+3)) = e^1\r<BR>\n" );
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document.write( "x^2 + 3x = e\r<BR>\n" );
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document.write( "x^2 +3x -e = 0\r<BR>\n" );
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document.write( "By quadratic formula you get x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29sqrt%289%2B4e%29+-3 ALIGN=MIDDLE  ALT=\"%281%2F2%29sqrt%289%2B4e%29+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = .729 as the only positive solution. Since ln(x) where x is negative is undefined.\r<BR>\n" );
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document.write( "ln(x+1) - ln(x-2) = ln(x^2)\r<BR>\n" );
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document.write( "ln((x+1)/(x-2)) = ln(x^2)\r<BR>\n" );
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document.write( "e^ln((x+1)/(x-2)) = e^ln(x^2)\r<BR>\n" );
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document.write( "(x+1)/(x-2) = x^2\r<BR>\n" );
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document.write( "x+1 = x^3 - 2x^2\r<BR>\n" );
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document.write( "x^3 -2x^2 -x -1 = 0\r<BR>\n" );
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document.write( "Find that x = 2.55 is the only real solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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