document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089581>Question 1089581</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the value of log2(3) log3(4) log4(5) … log1023(1024). (Hint:Use change	of base	formula) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #703939 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=703939\">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=+log%282%2C%283%29%29log%283%2C%284%29%29log%284%2C%285%29%29 ALIGN=MIDDLE  ALT=\"+log%282%2C%283%29%29log%283%2C%284%29%29log%284%2C%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > … <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=log%281023%2C%281024%29%29+ ALIGN=MIDDLE  ALT=\"log%281023%2C%281024%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Using 'log' to denote log base 10 (i.e. the traditional log function):<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%28%283%29%29%2Flog%28%282%29%29%29%2A%28log%28%284%29%29%2Flog%28%283%29%29%29%2A%28log%28%285%29%29%2Flog%28%284%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > … * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28log%28%281023%29%29%2Flog%28%281022%29%29%29%2A+%28log%28%281024%29%29%2Flog%28%281023%29%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice how log(3) cancels with log(3) of the 2nd factor, and then log(4) cancels, etc. leaving us with<BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+log%28%281024%29%29+%2F+log%28%282%29%29+=+log%28%282%5E10%29%29+%2F+log%28%282%29%29+=+10+%2A+log%28%282%29%29%2Flog%28%282%29%29+=+highlight%2810%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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