document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=130475>Question 130475</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x: 9(^2x-1)= (81^(x+1)(27^-x)  I think the answer is -2?????? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95595 by </B><A HREF=/tutors/aboutme.mpl?userid=cngriffith><B>cngriffith(27)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cngriffith><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=95595\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 9(^2x-1)= (81^(x+1)(27^-x)<BR>\n" );
document.write( "(3^2)^2x-1=(3^4)^x+1(3^3)^-x  Change 9,81and 27 to bases of 3<BR>\n" );
document.write( "3^4x-2=3^4x+4(3^-3x)   power to power: multiply exponents<BR>\n" );
document.write( " 3^4x-2=3^x+4           multiply like bases:add exponents<BR>\n" );
document.write( "4x-2=x+4                equate exponents<BR>\n" );
document.write( "3x=6<BR>\n" );
document.write( "x=2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );