document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=249519>Question 249519</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Evaluate the logarithmic equation for three values of x that are less than -1, three values of x that are between 0 and -1, and at x = -1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the equation of the line asymptotic to the graph (if any).\r<BR>\n" );
document.write( "\n" );
document.write( "y = -log3.5 (-x)    The 3.5 is a, or the subscript\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you for any help you can offer.\r<BR>\n" );
document.write( "\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 #181740 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=181740\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> your equation is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = -log(3.5,(-x))\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "graph of this equation looks like this:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph+%28600%2C600%2C-5%2C5%2C-5%2C5%2C-log%283.5%2C%28-x%29%29%29 ALIGN=MIDDLE  ALT=\"graph+%28600%2C600%2C-5%2C5%2C-5%2C5%2C-log%283.5%2C%28-x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can use the conversion formula to change the base of the logarithm so you can solve it using your calculator.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the conversion formula is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log(a,(x)) = log(b,x) / log(b,a)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "what this formula says is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "log of x to the base of a equals the log of x to the base of b divided by the log of a to the base of b.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "in your problem, this conversion formula becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-log(3.5,(-x)) = - (log(10,(-x)) / log(10,3.5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you can now use your calculator to solve for selected points of that log.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = - (log(10,(-x)) / log(10,3.5)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "substitute the following values for x:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = - (log(10,-(-4)) / log(10,3.5) = -1.106589511\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = - (log(10,-(-3)) / log(10,3.5) = -.87695144\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = - (log(10,-(-2)) / log(10,3.5) = -.553294756\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = - (log(10,-(-1)) / log(10,3.5) = -0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = - (log(10,-(-.1)) / log(10,3.5) = 1.838005394\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "y = - (log(10,-(-.0000001)) / log(10,3.5) = 12.86603776\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the graph appears to be asymptotic at x = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the closer you get to 0, the bigger y gets.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the value of y is undefined at x = 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "all you need to do is plot the points on a piece of graph paper and draw the resulting curve.\r<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" );