document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=29425>Question 29425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ln(x+2)=ln(2x-1)+3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #16266 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=16266\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(x+2)=ln(2x-1)+3<BR>\n" );
document.write( "ln(x+2) - ln(2x-1) = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+ln%28%28x%2B2%29%2F%282x-1%29%29+=+3+ ALIGN=MIDDLE  ALT=\"+ln%28%28x%2B2%29%2F%282x-1%29%29+=+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B2%29%2F%282x-1%29+=+e%5E3+ ALIGN=MIDDLE  ALT=\"+%28x%2B2%29%2F%282x-1%29+=+e%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=e%5E3 ALIGN=MIDDLE  ALT=\"e%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is just a number...JUST a number!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B2%29+=+e%5E3%282x-1%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B2%29+=+e%5E3%282x-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B2+=+2e%5E3x-e%5E3+ ALIGN=MIDDLE  ALT=\"+x%2B2+=+2e%5E3x-e%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%2B2-2e%5E3x+=+-e%5E3+ ALIGN=MIDDLE  ALT=\"+x%2B2-2e%5E3x+=+-e%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x-2e%5E3x+=+-2-e%5E3+ ALIGN=MIDDLE  ALT=\"+x-2e%5E3x+=+-2-e%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x%281-2e%5E3%29+=+-2-e%5E3+ ALIGN=MIDDLE  ALT=\"+x%281-2e%5E3%29+=+-2-e%5E3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-2-e%5E3%29%2F%281-2e%5E3%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-2-e%5E3%29%2F%281-2e%5E3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28-%282%2Be%5E3%29%29%2F%28-%282e%5E3-1%29%29+ ALIGN=MIDDLE  ALT=\"+x+=+%28-%282%2Be%5E3%29%29%2F%28-%282e%5E3-1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%282%2Be%5E3%29%2F%282e%5E3-1%29+ ALIGN=MIDDLE  ALT=\"+x+=+%282%2Be%5E3%29%2F%282e%5E3-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so either leave this as it is...it is the PRECISE answer. If you use a calulator, you will have to round up the answer, since it is a never-ending number... x = 0.563822605 to 9dp.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "PS the other solution by sdmmadam is wrong because on line 3 the \"ln\" becomes \"log\" which is wrong. The actual mechanics is correct though...just that the x value is wrong.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );