document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=949350>Question 949350</A>: <I><SPAN STYLE=\"word-break: break-all;\"> aolvw for x:(1/125)^(4-2x)=5*25^(3x-1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #579582 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=579582\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (1/125)^(4-2x)=5*25^(3x-1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1=(125)^(4-2x)*5*25^(3x-1)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5*(5^3)^(4-2x)*(5^2)^(3x-1)=1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "5*5^(3(4-2x))*5^(2(3x-1))=1\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The base is 5, and the factors raised to different exponents, all from the same base of 5.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Addition of those exponents:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B3%284-2x%29%2B2%283x-1%29 ALIGN=MIDDLE  ALT=\"1%2B3%284-2x%29%2B2%283x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B12-6x%2B6x-2 ALIGN=MIDDLE  ALT=\"1%2B12-6x%2B6x-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=13-2 ALIGN=MIDDLE  ALT=\"13-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=11 ALIGN=MIDDLE  ALT=\"11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Revising the equation,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28cross%285%5E11=1%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28cross%285%5E11=1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is false, so NO SOLUTION .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "--<BR>\n" );
document.write( "The initial steps, rendered,\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F125%29%5E%284-2x%29=5%2A25%5E%283x-1%29 ALIGN=MIDDLE  ALT=\"%281%2F125%29%5E%284-2x%29=5%2A25%5E%283x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=%28125%29%5E%284-2x%29%2A5%2A25%5E%283x-1%29 ALIGN=MIDDLE  ALT=\"1=%28125%29%5E%284-2x%29%2A5%2A25%5E%283x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A%285%5E3%29%5E%284-2x%29%2A%285%5E2%29%5E%283x-1%29=1 ALIGN=MIDDLE  ALT=\"5%2A%285%5E3%29%5E%284-2x%29%2A%285%5E2%29%5E%283x-1%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2A5%5E%283%284-2x%29%29%2A5%5E%282%283x-1%29%29=1 ALIGN=MIDDLE  ALT=\"5%2A5%5E%283%284-2x%29%29%2A5%5E%282%283x-1%29%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );