document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=79558>Question 79558</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0072424281/algebrahomeworkh>College Algebra Graphs and Models</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to figure out this question. ln(x+1)= ln(3x+1)-ln x??? I keep getting x= square root 2x+1. but I don't think that is write??? I am horrible at these. Please help!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #57098 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=57098\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(x+1)= ln(3x+1)-ln x<BR>\n" );
document.write( "ln(x+1) = ln[(3x+1)/x]<BR>\n" );
document.write( "Since the ln's are equal, the anti-ln's are equal:<BR>\n" );
document.write( "x+1 = (3x+1)/x<BR>\n" );
document.write( "x^2+x = 3x+1<BR>\n" );
document.write( "x^2-2x-1=0<BR>\n" );
document.write( "x=[2+-sqrt4-4*-1]/2<BR>\n" );
document.write( "x=[2+-sqrt(8)]/2<BR>\n" );
document.write( "x=[1+-sqrt2]<BR>\n" );
document.write( "Positive answer:<BR>\n" );
document.write( "x=1+sqrt2<BR>\n" );
document.write( "x=2.1414....<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );