document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181447>Question 181447</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What are they asymptotes of the functions \"f(x) = 4^x\" and \"g(x)= log5x\"  ***The 5 is opposite of ^5.  I am unable to find that symbol on my computer.***<BR>\n" );
document.write( "This is from my Elementary and Intermediate Algebra class.<BR>\n" );
document.write( "Thank you in advance. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #136054 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=136054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What are the asymptotes of the functions <BR>\n" );
document.write( "\"f(x) = 4^x\" <BR>\n" );
document.write( "Asymptote: y = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C4%5Ex%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C4%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "\"g(x)= log5x\" <BR>\n" );
document.write( "Maybe you mean the following:<BR>\n" );
document.write( "g(x) = log[(sqrt(5)x]<BR>\n" );
document.write( "Asymptote : x = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cln%28%285%5E%281%2F2%29%29x%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cln%28%285%5E%281%2F2%29%29x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "***The 5 is opposite of ^5. \r<BR>\n" );
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document.write( "======================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );