document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1056039>Question 1056039</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x: 9^(2x-1)=(1/3)^x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #671196 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=671196\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x: 9^(2x-1)=(1/3)^x<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "(2x-1)*log(9) = x*log(1/3)<BR>\n" );
document.write( "2x*log(9) - log(9) = x*log(1/3)<BR>\n" );
document.write( "2x*log(9) - x*log(1/3) = log(9)<BR>\n" );
document.write( "x*log(81) - x*log(1/3) = log(9)<BR>\n" );
document.write( "x*(log(81) - log(1/3)) = log(9)<BR>\n" );
document.write( "x*log(243) = log(9)<BR>\n" );
document.write( "x = log(9)/log(243) = 2log(3)/(5log(3))<BR>\n" );
document.write( "x = 2/5\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );