document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=570367>Question 570367</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log[6](x+1)+log[6](x)=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #368081 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=368081\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x<BR>\n" );
document.write( "log[6](x+1)+log[6](x)=1<BR>\n" );
document.write( "log6[x(x+1)]=1<BR>\n" );
document.write( "convert to exponential form: base(6) raised to log of the number(1)=number[x(x+1)]<BR>\n" );
document.write( "6^1=[x(x+1)]<BR>\n" );
document.write( "6=x^2+x<BR>\n" );
document.write( "x^2+x-6=0<BR>\n" );
document.write( "(x+3)(x-2)=0<BR>\n" );
document.write( "x=-3(reject, (x+1)>0)<BR>\n" );
document.write( "or<BR>\n" );
document.write( "x=2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );