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Re: Log[x]//TraditionalForm

  • To: mathgroup at smc.vnet.net
  • Subject: [mg96282] Re: Log[x]//TraditionalForm
  • From: "slawek" <human at site.pl>
  • Date: Wed, 11 Feb 2009 05:16:33 -0500 (EST)
  • References: <200902031132.GAA00303@smc.vnet.net> <gmrm45$9m4$1@smc.vnet.net>

U¿ytkownik "Lou Talman" <talmanl at mscd.edu> napisa³ w wiadomo¶ci 
news:gmrm45$9m4$1 at smc.vnet.net...
> The notational distinction between "ln" and "log" makes sense for
> engineers who must use both natural logarithms and common
> logarithms.  But in advanced mathematics there is only one logarithm.


False. The ln/log/alog was introduced when base ten logarithms was applied 
to calculation like:

 2*5 = ... log 2 = 0.3010, log 5 = 0.6990, 0.3010+0.6990 = 1.0000, alog 1 = 
10  ...
therefore 2*5 is just 10

BTW, I still memorize log 2 and log 5 and log pi, so I have no need look for 
above values in tables and/or calculators/computers. :)

I trully advanced mathematics there are infinitely many logaritms, because 
you can pick any base. It is a rather sense of taste to use e = 2.71... as a 
base, sometimes it may be a convenient choose, sometimes not. I is the 
similar to choose decimal numbers instead hexes.

slawek



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