document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47129>Question 47129</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the equation\r<BR>\n" );
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document.write( "(1/3)^x=27 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31209 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31209\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1/3)^x=27<BR>\n" );
document.write( "3^-x=27  [Convert the left side to a negative exponent (-x)]<BR>\n" );
document.write( "3^-x=3^3  [convert to similar bases]<BR>\n" );
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document.write( "The following operations are performed within the exponents only:<BR>\n" );
document.write( "3^(-x-3) = 3^3-3 [Solve for \"x\" within the exponents]<BR>\n" );
document.write( "3^(-x-3=0) = 3^(3-3) [Answer within the exponents]<BR>\n" );
document.write( "3^(x=-3) = 3^(3-3=0) [Answer within the exponents: solve for \"x\"]<BR>\n" );
document.write( "3^-3 = 3^0 [Answer within the exponents]<BR>\n" );
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document.write( "Returning to the entire original equation<BR>\n" );
document.write( "1/3^-3 =3^3 [Plug-in x=-3 into the original equation]<BR>\n" );
document.write( "3^3 =3^3<BR>\n" );
document.write( "27=27 [Checks out]<BR>\n" );
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