document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=62960>Question 62960</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve ln(2x-1)-ln(4)=ln(x-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #43796 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=43796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve ln(2x-1)-ln(4)=ln(x-2)<BR>\n" );
document.write( "ln(2x-1)=ln[4/(x-2)]<BR>\n" );
document.write( "2x-1 = 4/(x-2)<BR>\n" );
document.write( "2x^2-4x-x+2=-4<BR>\n" );
document.write( "2x^2-5x+6=0<BR>\n" );
document.write( "x=[5+-sqrt(25-4(2)(6))]/4<BR>\n" );
document.write( "x=[5+-1]/4<BR>\n" );
document.write( "x=3/2 or x=1<BR>\n" );
document.write( "Both solution are extraneous:<BR>\n" );
document.write( "If x=3/2, ln(x-2)=ln(-1/2) which does not exist.<BR>\n" );
document.write( "If x=1, ln(x-2)=ln(-1) which does not exist.<BR>\n" );
document.write( "Conclusion: No solution<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );