document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=681425>Question 681425</A>: <I><SPAN STYLE=\"word-break: break-all;\"> log2(x+5)=log4(7x+1) solve for X </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422907 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=422907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log2(x+5)=log4(7x+1) solve for X<BR>\n" );
document.write( "convert to log base2<BR>\n" );
document.write( "log2(x+5)=log2(7x+1)/log2(4)<BR>\n" );
document.write( "log2(4)=2<BR>\n" );
document.write( "log2(x+5)=log2(7x+1)/2<BR>\n" );
document.write( "2log2(x+5)=log2(7x+1)<BR>\n" );
document.write( "log2[(x+5)^2]=log2(7x+1)<BR>\n" );
document.write( "(x+5)^2=7x+1<BR>\n" );
document.write( "x^2+10x+25=7x+1<BR>\n" );
document.write( "x^2+3x+24=0<BR>\n" );
document.write( "a=1, b=3, c=24<BR>\n" );
document.write( "discriminant:<BR>\n" );
document.write( "b^2-4ac=9-4*1*24<0<BR>\n" );
document.write( "therefore, no real solution </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );