document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=254819>Question 254819</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do I go about this question? \r<BR>\n" );
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document.write( "Find the value of x for:\r<BR>\n" );
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document.write( "log2(x2 + 4x + 3) – log 2(x2 + x) = 4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #187105 by </B><A HREF=/tutors/aboutme.mpl?userid=palanisamy><B>palanisamy(496)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=palanisamy><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=187105\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given, log2(x2 + 4x + 3) – log 2(x2 + x) = 4<BR>\n" );
document.write( "       log2[(x^2+4x+3)/(x^2+x)] = 4<BR>\n" );
document.write( "Taking anti-log, we get<BR>\n" );
document.write( "           [(x^2+4x+3)/(x^2+x)] =2^4<BR>\n" );
document.write( "             x^2+4x+3 = 16(x^2+x)<BR>\n" );
document.write( "             x^2+4x+3 = 16x^2+16x<BR>\n" );
document.write( "                    0 = 15x^2+12x-3 <BR>\n" );
document.write( "Dividing by 3, we get<BR>\n" );
document.write( "             5x^2+4x-1 = 0<BR>\n" );
document.write( "             (5x-1)(x+1)=0<BR>\n" );
document.write( "                      x = -1,1/5 <BR>\n" );
document.write( "     </SPAN>\n" );
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