document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=452085>Question 452085</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the logarithmic function. <BR>\n" );
document.write( "f(x) = ln (4x - x2)  <BR>\n" );
document.write( " A. 0 < x < 4  <BR>\n" );
document.write( "B. x &#8804; 4  <BR>\n" );
document.write( "C. -4 < x < 4  <BR>\n" );
document.write( "D. -4 &#8804; x < 0 <BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #310767 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=310767\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the domain of the logarithmic function. <BR>\n" );
document.write( "f(x) = ln (4x - x^2)  <BR>\n" );
document.write( "The natural log function is only defined for positive values of the argument.<BR>\n" );
document.write( "The limiting values of x are obtained by factoring the expression and seting = 0:<BR>\n" );
document.write( "x(4-x) = 0<BR>\n" );
document.write( "This gives x = 0 , x = 4<BR>\n" );
document.write( "So the domain is 0 < x < 4.<BR>\n" );
document.write( "Ans. A<BR>\n" );
document.write( "The graph is below:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-6%2C6%2C-10%2C10%2Cln%284x-x%5E2%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-6%2C6%2C-10%2C10%2Cln%284x-x%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );