document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=55179>Question 55179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> HELP ME PLEASE:<BR>\n" );
document.write( "SOLVE LOGa(8x+5)=LOGa(4x+29) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #37437 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=37437\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SOLVE LOGa(8x+5)=LOGa(4x+29)<BR>\n" );
document.write( "Because the bases are the same, we can simply equate:<BR>\n" );
document.write( "8x+5=4x+29<BR>\n" );
document.write( "-4x+8x+5=-4x+4x+29<BR>\n" );
document.write( "4x+5=29<BR>\n" );
document.write( "4x+5-5=29-5<BR>\n" );
document.write( "4x=24<BR>\n" );
document.write( "4x/4=24/6<BR>\n" );
document.write( "x=6<BR>\n" );
document.write( "check by substituting x=6 in the original equation.  You have to do that with all log equations to avoid extraneous (false) solutions.<BR>\n" );
document.write( "LOGa(8(6)+5)=LOGa(4(6)+29)<BR>\n" );
document.write( "LOGa(48+5)=LOGa(24+29)<BR>\n" );
document.write( "LOGa(53)=LOGa(53)  We're right!!!<BR>\n" );
document.write( "Happy Calculating!!! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );