document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=675532>Question 675532</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve for x (1/5)^(x-1)=25 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #419895 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=419895\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1/5)^(x-1)=25\r<BR>\n" );
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document.write( "(5^(-1))^(x-1)=5^2\r<BR>\n" );
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document.write( "5^(-(x-1))=5^2\r<BR>\n" );
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document.write( "Since the bases are equal to 5, the exponents must be equal.\r<BR>\n" );
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document.write( "-(x-1) = 2\r<BR>\n" );
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document.write( "-x+1 = 2\r<BR>\n" );
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document.write( "-x = 2-1\r<BR>\n" );
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document.write( "-x = 1\r<BR>\n" );
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document.write( "x = -1\r<BR>\n" );
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document.write( "So the solution is x = -1 </SPAN>\n" );
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