document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=41768>Question 41768</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 27^3n-1 = 81^ -n </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #26942 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=26942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming you mean <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+27%5E%283n-1%29+=+81%5E%28-n%29+ ALIGN=MIDDLE  ALT=\"+27%5E%283n-1%29+=+81%5E%28-n%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then we get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%5E3%5E%283n-1%29+=+3%5E4%5E%28-n%29+ ALIGN=MIDDLE  ALT=\"+3%5E3%5E%283n-1%29+=+3%5E4%5E%28-n%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3%5E%283%283n-1%29%29+=+3%5E%28-4n%29+ ALIGN=MIDDLE  ALT=\"+3%5E%283%283n-1%29%29+=+3%5E%28-4n%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and so we have 3 raised to a power on both sides of the equal sign, so the 2 powers must be the same.\r<BR>\n" );
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document.write( "--> 3(3n-1) = -4n<BR>\n" );
document.write( "9n-3 = -4n<BR>\n" );
document.write( "13n = 3<BR>\n" );
document.write( "n = 3/13\r<BR>\n" );
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document.write( "CHECK:<BR>\n" );
document.write( "3n-1 is -4/13<BR>\n" );
document.write( "-n is -3/13\r<BR>\n" );
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document.write( "so work out if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+27%5E%28-4%2F13%29+ ALIGN=MIDDLE  ALT=\"+27%5E%28-4%2F13%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+81%5E%28-3%2F13%29+ ALIGN=MIDDLE  ALT=\"+81%5E%28-3%2F13%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Both come to the same decimal.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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