document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=756713>Question 756713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ln(x)+ln(6x+1)=ln5 \r<BR>\n" );
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document.write( "Please help me solve this equation  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460403 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460403\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ln(x)+ln(6x+1)=ln5 <BR>\n" );
document.write( "adding logs is multiply, so write it:<BR>\n" );
document.write( "ln(x(6x+1)) = ln(5)<BR>\n" );
document.write( "logs are equal, values are equal<BR>\n" );
document.write( "x(6x+1) = 5<BR>\n" );
document.write( "A quadratic equation<BR>\n" );
document.write( "6x^2 + x - 5 = 0<BR>\n" );
document.write( "Factors to<BR>\n" );
document.write( "(6x-5)(x+1) = 0<BR>\n" );
document.write( "two solutions<BR>\n" );
document.write( "6x = 5<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "x = -1<BR>\n" );
document.write( "Only the positive solution will work in logs so<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );