document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=410617>Question 410617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really need help solving this equation. PLEASE help?\r<BR>\n" );
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document.write( "ln(x+1)-ln(x-2)=ln(5)\r<BR>\n" );
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document.write( "1. Solve equation by setting up algebraically.<BR>\n" );
document.write( "2. Use appropriate properties of Logarithm to reduce the number of logarithmic terms to only one.<BR>\n" );
document.write( "3. Solve logarithmic equation.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #288703 by </B><A HREF=/tutors/aboutme.mpl?userid=CharlesG2><B>CharlesG2(834)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CharlesG2><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=288703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \"I really need help solving this equation. PLEASE help?\r<BR>\n" );
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document.write( "ln(x+1)-ln(x-2)=ln(5)\r<BR>\n" );
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document.write( "1. Solve equation by setting up algebraically.<BR>\n" );
document.write( "2. Use appropriate properties of Logarithm to reduce the number of logarithmic terms to only one.<BR>\n" );
document.write( "3. Solve logarithmic equation. \"\r<BR>\n" );
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document.write( "ln(x + 1) - ln(x - 2) = ln(5)<BR>\n" );
document.write( "logarithmic rule: ln(m) - ln(n) = ln(m/n)<BR>\n" );
document.write( "ln((x + 1)/(x - 2)) = ln(5)<BR>\n" );
document.write( "(x + 1)/(x - 2) = 5 (what was in parentheses on above line must equal)<BR>\n" );
document.write( "x + 1 = 5(x - 2)<BR>\n" );
document.write( "x + 1 = 5x - 10<BR>\n" );
document.write( "-4x = -11<BR>\n" );
document.write( "x = 11/4<BR>\n" );
document.write( "check:<BR>\n" );
document.write( "ln(11/4 + 1) - ln(11/4 - 2) = ln(5)<BR>\n" );
document.write( "ln(11/4 + 4/4) - ln(11/4 - 8/4) = ln(5)<BR>\n" );
document.write( "ln(15/4) - ln(3/4) = ln(5)<BR>\n" );
document.write( "ln(15/4 * 4/3) = ln(5)<BR>\n" );
document.write( "ln(15/3) = ln(5)<BR>\n" );
document.write( "ln(5) = ln(5) , yes\r<BR>\n" );
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document.write( " </SPAN>\n" );
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