document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305490>Question 305490</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ln(x+3)/ln(x-3)=2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218732 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=218732\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(x+3)/ln(x-3)=2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "ln(x+3) = 2ln(x-3)<BR>\n" );
document.write( "ln(x+3) = ln(x-3)^2<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x+3 = (x-3)^2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2 - 6x + 9 = x+3<BR>\n" );
document.write( "---<BR>\n" );
document.write( "x^2 -7x +6 = 0<BR>\n" );
document.write( "---<BR>\n" );
document.write( "(x-6)(x-1) = 0<BR>\n" );
document.write( "x = 6 or x = 1<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Checking in ln(x+3)/ln(x-3)=2<BR>\n" );
document.write( "Check x = 6: ln(9)/ln(3) = 2<BR>\n" );
document.write( "ln(9) = 2ln(3)<BR>\n" );
document.write( "ln(9) = ln9<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "Check x = 1: ln(4)/ln(-2) = 2<BR>\n" );
document.write( "No because ln(-2) does not exist.<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Only solution: x = 6<BR>\n" );
document.write( "==================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );