document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035219>Question 1035219</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Logarithmic Equation. What is the solution set of the function<BR>\n" );
document.write( "                        log(base 5) x + log(base 5) (4x+1)= 1. Pls. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649872 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=649872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log(base 5) x + log(base 5) (4x+1)= 1<BR>\n" );
document.write( "log(base 5) [x(4x+1)] = 1<BR>\n" );
document.write( "x(4x+1) = 5^1<BR>\n" );
document.write( "4x^2+x = 5<BR>\n" );
document.write( "4x^2+x-5 = 0<BR>\n" );
document.write( "factoring:<BR>\n" );
document.write( "(4x+5)(x-1) = 0<BR>\n" );
document.write( "x = {-5/4, 1}<BR>\n" );
document.write( "throw out the neg solution (extraneous) leaving:<BR>\n" );
document.write( "x = 1<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );