document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=641767>Question 641767</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve x in the following exponential notation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5E%28x-1%29+%2A+81%5E%282x-1%29=27%5E%283x-2%29 ALIGN=MIDDLE  ALT=\"9%5E%28x-1%29+%2A+81%5E%282x-1%29=27%5E%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404711 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=404711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve x in the following exponential notation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%5E%28x-1%29+%2A+81%5E%282x-1%29=27%5E%283x-2%29 ALIGN=MIDDLE  ALT=\"9%5E%28x-1%29+%2A+81%5E%282x-1%29=27%5E%283x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "9^(x-1) * 81^(2x-1)=27^(3x-2)<BR>\n" );
document.write( "change to base 3<BR>\n" );
document.write( "3^2(x-1)*3^4(2x-1)=3^3(3x-2)<BR>\n" );
document.write( "3^(2x-2)*3^(8x-4)=3^(9x-6)<BR>\n" );
document.write( "3^[(2x-2)+(8x-4])=3^(9x-6)<BR>\n" );
document.write( "3^(10x-6)=3^(9x-6)<BR>\n" );
document.write( "10x-6=9x-6<BR>\n" );
document.write( "x=0 <BR>\n" );
document.write( "check:<BR>\n" );
document.write( "9^-1*81^-1=27^-2<BR>\n" );
document.write( "1/9*1/81=1/27^2<BR>\n" );
document.write( "1/729=1/729 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );