document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=567717>Question 567717</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the following equation for x: 27^(5-x) = 9^(x-2) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #366773 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=366773\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 27^(5-x) = 9^(x-2)\r<BR>\n" );
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document.write( "(3^3)^(5-x) = (3^2)^(x-2)\r<BR>\n" );
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document.write( "3^(3(5-x)) = 3^(2(x-2))\r<BR>\n" );
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document.write( "Since the bases are equal, the exponents are equal.\r<BR>\n" );
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document.write( "3(5-x)=2(x-2)\r<BR>\n" );
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document.write( "15-3x=2x-4\r<BR>\n" );
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document.write( "-3x=2x-4-15\r<BR>\n" );
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document.write( "-3x-2x=-4-15\r<BR>\n" );
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document.write( "-5x=-4-15\r<BR>\n" );
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document.write( "-5x=-19\r<BR>\n" );
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document.write( "x=(-19)/(-5)\r<BR>\n" );
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document.write( "x=19/5 </SPAN>\n" );
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