document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=239105>Question 239105</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve without using a calculator:<BR>\n" );
document.write( "5^(3-x)= 1/125 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175610 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=175610\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 5^(3-x) = 1/125\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "since 5^3 = 125, then 5^(-3) = 1/5^3 = 1/125\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "we have 5^-3 = 1/125 which means that:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "3-x = -3 which means that\r<BR>\n" );
document.write( "\n" );
document.write( "x = 6\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your equation becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5^(3-6) = 1/125 which becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5^(-3) = 1/125 which becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/5^3 = 1/125 which becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1/125 = 1/125 which is true so the answer of x = 6 is good.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );