document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106297>Question 106297</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1. Solve the equation: logbase4(x-5) = 0.5 – logbase4(1-x).\r<BR>\n" );
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document.write( "i follow through with the problem and get four different answers but none of them check out when they are plugged into \"X\".  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77328 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77328\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Take a step back. <BR>\n" );
document.write( "It's tempting to just apply to rules and look for a solution. <BR>\n" );
document.write( "For the problem to have a solution, both log arguments (x-5) and (1-x) must be greater than zero<BR>\n" );
document.write( "1.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-5%29%3E0 ALIGN=MIDDLE  ALT=\"%28x-5%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-x%29%3E0 ALIGN=MIDDLE  ALT=\"%281-x%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "From 1., we get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E5 ALIGN=MIDDLE  ALT=\"x%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "From 2., we get <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1 ALIGN=MIDDLE  ALT=\"x%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You cannot satisfy both condition since there is no x such that <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C1 ALIGN=MIDDLE  ALT=\"x%3C1\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E5 ALIGN=MIDDLE  ALT=\"x%3E5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "No solution.  </SPAN>\n" );
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