document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198272>Question 198272</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve<BR>\n" );
document.write( "log4(4b+14)-log4(b^2-3b-17)=1/2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148809 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=148809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> log4(4b+14)-log4(b^2-3b-17)=1/2<BR>\n" );
document.write( "log[4]((4b+14)/(b^2-3b-17))=1/2<BR>\n" );
document.write( "4^log[4]((4b+14)/(b^2-3b-17))=4^(1/2)<BR>\n" );
document.write( "(4b+14)/(b^2-3b-17)=2<BR>\n" );
document.write( "4b+14=2b^2-6b-34<BR>\n" );
document.write( "2b^2-10b-48=0<BR>\n" );
document.write( "b^2-5b-24=0<BR>\n" );
document.write( "(b-8)(b+3)=0<BR>\n" );
document.write( "b=8, b=-3<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );