document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685808>Question 685808</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following exponential equation.  Exact answers only.\r<BR>\n" );
document.write( "\n" );
document.write( "49^x-12*7^x=-36\r<BR>\n" );
document.write( "\n" );
document.write( "I have tried and tried on this problem.  I do not understand.  I would appreciate help on this!  Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424637 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=424637\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the following exponential equation. Exact answers only. <BR>\n" );
document.write( "49^x-12*7^x=-36 <BR>\n" );
document.write( "7^2x-12*7^x=-36<BR>\n" );
document.write( "let u=7^x<BR>\n" );
document.write( "u^2=7^2x<BR>\n" );
document.write( "u^2-12u+36=0<BR>\n" );
document.write( "(u-6)(u-6)=0<BR>\n" );
document.write( "u=6=7^x<BR>\n" );
document.write( "6=7^x<BR>\n" );
document.write( "log6=xlog7<BR>\n" );
document.write( "x=log6/log7<BR>\n" );
document.write( "x&#8776;.9208..\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );