document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=619316>Question 619316</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the logarithmic equation: In x +In(3x-1)=In 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389572 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=389572\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the logarithmic equation: <BR>\n" );
document.write( "In x +In(3x-1)=In 10<BR>\n" );
document.write( "ln(x*(3x-1))=ln10<BR>\n" );
document.write( "x(3x-1)=10<BR>\n" );
document.write( "3x^2-x-10=0<BR>\n" );
document.write( "(3x+5)(x-2)=0<BR>\n" );
document.write( "x=-5/3 (reject, x>0)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=2\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );