document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1017677>Question 1017677</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Log(5x+2)-log(x-1)=0.7782. Find x<BR>\n" );
document.write( "THANK YOU </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #633947 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=633947\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Okay, from<BR>\n" );
document.write( "log(5x+2)-log(x-1)=0.7782<BR>\n" );
document.write( "combine logs first and get<BR>\n" );
document.write( "log((5x+2)/(x-1)) = .7782<BR>\n" );
document.write( "Now exponentiate 10-to-the and get<BR>\n" );
document.write( "(5x+2)/(x-1) = 10^.7782<BR>\n" );
document.write( "(5x+2)/(x-1) = 6<BR>\n" );
document.write( "Now cross-multiply<BR>\n" );
document.write( "5x + 2 = 6x - 6<BR>\n" );
document.write( "and solve, giving us<BR>\n" );
document.write( "x = 8 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );