document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=764377>Question 764377</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.<BR>\n" );
document.write( "8^2x-9=512 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #465408 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=465408\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve the following exponential equation by expressing each side as a power of the same base and then equating exponents.<BR>\n" );
document.write( "8^2x-9=512<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "(2^3)^(2x-9) = 2^9<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "2^(6x-27) = 2^9<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "6x-27 = 9<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "6x = 36<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( "=============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "======================= </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );