document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=207533>Question 207533</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for x where x is a real number\r<BR>\n" );
document.write( "\n" );
document.write( "27^2x = 9^x-3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #156939 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=156939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve for x where x is a real number <BR>\n" );
document.write( "27^2x = 9^x-3<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "[3^3]^(2x) = [3^2]^(x-3)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "3^(6x) = 3^(2x-6)<BR>\n" );
document.write( "----------------<BR>\n" );
document.write( "Equate the exponents to get:<BR>\n" );
document.write( "6x = 2x-6<BR>\n" );
document.write( "4x = -6<BR>\n" );
document.write( "x = -3/2<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );