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 #649870 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=649870\">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( "---------------<BR>\n" );
document.write( "log5[x(4x+1)] = 1<BR>\n" );
document.write( "------<BR>\n" );
document.write( "4x^2+4x = 5<BR>\n" );
document.write( "------<BR>\n" );
document.write( "4x^2 + 4x - 5 = 0<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [-4 +- sqrt(16-4*4*-5)]/8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [-4 +- sqrt(96)]/8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "x = [-4 +- 4sqrt(6)]/8<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Positive solution::<BR>\n" );
document.write( "x = [-4+4*sqrt(6)]/8 = 0.7247<BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );