document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479568>Question 479568</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hey guys, I'm having a bit of trouble finding out a few things about the graph of y = Log6^x . My teacher is asking me to find:\r<BR>\n" );
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document.write( "1. The Equation of the vertical asymtote<BR>\n" );
document.write( "2. The X-Intercepts<BR>\n" );
document.write( "3. The Range.<BR>\n" );
document.write( "4. The Domain.<BR>\n" );
document.write( "5. Is it increasing or decreasing.\r<BR>\n" );
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document.write( "I been trying for almost a day now to figure this out and I'm at a loss at how you find all of this with Log6^2. I'd really appreciate the help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #328568 by </B><A HREF=/tutors/aboutme.mpl?userid=ccs2011><B>ccs2011(207)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ccs2011><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=ccs2011><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=328568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> is this log base 6 or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%286%5Ex%29 ALIGN=MIDDLE  ALT=\"log+%286%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ??<BR>\n" );
document.write( "If its the latter then you can rewrite it as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Alog+%286%29 ALIGN=MIDDLE  ALT=\"x%2Alog+%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "This then becomes just a linear function with slope of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log+%286%29 ALIGN=MIDDLE  ALT=\"log+%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "But then the things you need to find don't make sense for a linear function.<BR>\n" );
document.write( "I will now assume its : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+log+%28x%29 ALIGN=MIDDLE  ALT=\"y+=+log+%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where log is base 6.<BR>\n" );
document.write( "Now there are certain things about the log function you need to know:<BR>\n" );
document.write( "1) Domain: x>0<BR>\n" );
document.write( "2) log(1) = 0<BR>\n" );
document.write( "3) Range: All real numbers<BR>\n" );
document.write( "4) For x>1, log(x) > 0<BR>\n" );
document.write( "   For x < 1, log(x) < 0<BR>\n" );
document.write( "5) log(0) is undefined or approaches negative infinity<BR>\n" );
document.write( "These things are true for the function log(x) for any base.<BR>\n" );
document.write( "These things should also help you answer your questions.<BR>\n" );
document.write( "Use these guidelines and try to sketch the graph on your own.<BR>\n" );
document.write( "Here is what the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=log%28x%29 ALIGN=MIDDLE  ALT=\"y=log%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (base 6) should look like:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28200%2C200%2C-1%2C10%2C-3%2C3%2Cln%28x%29%2Fln%286%29%29 ALIGN=MIDDLE  ALT=\"graph%28200%2C200%2C-1%2C10%2C-3%2C3%2Cln%28x%29%2Fln%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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