document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=467863>Question 467863</A>: <I><SPAN STYLE=\"word-break: break-all;\"> question:\r<BR>\n" );
document.write( "\n" );
document.write( "ln(x+9)-ln(x+5)=ln(x+7)-ln(x-4)\r<BR>\n" );
document.write( "\n" );
document.write( "I come up with x=1/3, but my answer key says \"no solution\". How come?\r<BR>\n" );
document.write( "\n" );
document.write( "Thanks,\r<BR>\n" );
document.write( "\n" );
document.write( "Jessica </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #321048 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=321048\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(x+9)-ln(x+5)=ln(x+7)-ln(x-4) \r<BR>\n" );
document.write( "\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ln%28%28x%2B9%29%2F%28x%2B5%29%29+=+ln%28%28x%2B7%29%2F%28x-4%29%29 ALIGN=MIDDLE  ALT=\"ln%28%28x%2B9%29%2F%28x%2B5%29%29+=+ln%28%28x%2B7%29%2F%28x-4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "==><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B9%29%2F%28x%2B5%29+=+%28x%2B7%29%2F%28x-4%29 ALIGN=MIDDLE  ALT=\"+%28x%2B9%29%2F%28x%2B5%29+=+%28x%2B7%29%2F%28x-4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2+%2B+5x+-+36+=+x%5E2+%2B+12x+%2B+35 ALIGN=MIDDLE  ALT=\"x%5E2+%2B+5x+-+36+=+x%5E2+%2B+12x+%2B+35\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "==> -71 = 6x\r<BR>\n" );
document.write( "\n" );
document.write( "==> x = -71/6\r<BR>\n" );
document.write( "\n" );
document.write( "But this x-value will NOT satisfy the original equation because of the terms x+9, x+5, x+7, and x-4 will all give negative values after substitution of x = -71/6, and so there is no solution to the equation. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );