document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100825>Question 100825</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do i solve for x?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8^x=(1/16)^(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 #73829 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=73829\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 8^x=(1/16)^(x-4)<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "Rewrite as follows:\r<BR>\n" );
document.write( "\n" );
document.write( "2^3x = 2^[-4(x-4)]<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Since the bases are the same the exponents must be equal:\r<BR>\n" );
document.write( "\n" );
document.write( "3x = -4(x-4)<BR>\n" );
document.write( "3x = -4x+16<BR>\n" );
document.write( "7x = 16<BR>\n" );
document.write( "x = 16/7<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );