document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=973793>Question 973793</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If X=logbase 24 12;y=logbase36 24;z=logbase48 36 then <BR>\n" );
document.write( "xyz+1 = ?<BR>\n" );
document.write( "a) 2xy b) 2zx c) 2yz </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #595855 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=595855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use change of base formula<BR>\n" );
document.write( "log 12/log 24   =0.7819<BR>\n" );
document.write( "log 24/log 36   =0.8868<BR>\n" );
document.write( "log 36/log48    =0.9257<BR>\n" );
document.write( "Product +1 =1.6418\r<BR>\n" );
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document.write( "2xy=1.3868<BR>\n" );
document.write( "2zx=1.447<BR>\n" );
document.write( "2yz= 1.6418\r<BR>\n" );
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document.write( "Alternatively,<BR>\n" );
document.write( "change base to 48\r<BR>\n" );
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document.write( "[log48 (24)/log48 (12)]* log48 (36)/log48 (24) *  [log 48 (36)]  everything cancels but log 48 (24), and change of base formula gives same product as above.  \r<BR>\n" );
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document.write( "2xy=log24 (144)*log 36 (24)  =[ log 36 (144)/log 36 (24)}*log base36 (24)= log36 (144)<BR>\n" );
document.write( "2yz=log36 (576)*log48 (36)= [log 48 (576)/log48 (36)] log 48 (36) =log 48 (576), etc.  Think change base to 10 and solving it that way is easier.<BR>\n" );
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