document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1031775>Question 1031775</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you find the domain of :<BR>\n" );
document.write( "h(x)=3-2log base 4 {(x-2)-5}\r<BR>\n" );
document.write( "\n" );
document.write( "Doman had always been one of my worst enemies :(((((<BR>\n" );
document.write( "so any help would be greatly appreciated </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #646457 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=646457\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you can't take the log of a negative number or 0, therefore the expression within the log function sign has to be greater than 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this means that (x-2)-5 has to be greater than 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(x-2)-5 is the same as x-7 so you get x-7 has to be greater than 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this means that x has to be greater than 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's the graph of that equation.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/042701.jpg\" alt=\"$$$\" </>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "there is an asymptote at x = 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the graph is only valid when x > 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "this is because you can't take the log of a negative number or 0 and get a real answer that can be graphed on the real plane.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log((x-2)-5) = log(x-7).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "x-7 > 0 results in x > 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your domain is all real values of x such that x > 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );