document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1209313>Question 1209313</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find  log5^6.4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #848258 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=848258\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "If you are evaluating the log base 5 of 6.4, then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%286.4%29%29+=+%28log%28%286.4%29%29%29%2F%28log%28%285%29%29%29+=+matrix%281%2C2%2C1.153383%2C%22approximately%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > due to the change of base rule<BR>\n" );
document.write( "You can use logs of any valid base with the change of base rule. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This means you could say<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%285%2C%286.4%29%29+=+%28Ln%286.4%29%29%2F%28Ln%285%29%29+=+matrix%281%2C2%2C1.153383%2C%22approximately%22%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where Ln refers to the natural log\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Or if you are trying to compute log(5^6.4) then use a calculator to get roughly 4.473408<BR>\n" );
document.write( "This assumes the log is base 10. <BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );