document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=433632>Question 433632</A>: <I><SPAN STYLE=\"word-break: break-all;\"> prove that 1/logxy basex+1/logxy basey=1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #300620 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=300620\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%28x%2C+xy%29+%2B+1%2Flog%28y%2C+xy%29+ ALIGN=MIDDLE  ALT=\"1%2Flog%28x%2C+xy%29+%2B+1%2Flog%28y%2C+xy%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Use change-of-base formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Flog%28x%2C+xy%29+%2B+1%2Flog%28y%2C+xy%29%0D%0A%0D%0A=1%2F%28log%28xy%29%2Flogx%29+%2B+1%2F%28log%28xy%29%2Flogy%29%0D%0A%0D%0A=logx%2Flog%28xy%29+%2B+logy%2Flog%28xy%29%0D%0A%0D%0A=%28logx+%2B+logy%29%2Flog%28xy%29+=+log%28xy%29%2Flog%28xy%29+=+1%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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