Re: Re: Re: Log[x]//TraditionalForm

*To*: mathgroup at smc.vnet.net*Subject*: [mg96481] Re: [mg96428] Re: [mg96282] Re: Log[x]//TraditionalForm*From*: Andrzej Kozlowski <akoz at mimuw.edu.pl>*Date*: Sat, 14 Feb 2009 03:11:49 -0500 (EST)*References*: <200902031132.GAA00303@smc.vnet.net> <gmrm45$9m4$1@smc.vnet.net> <200902111016.FAA16824@smc.vnet.net> <200902130844.DAA26735@smc.vnet.net>

You are, of course, completely right. I have frequently experienced the same amazement. But in this particular case the tongue need not even be "firmly planted in the cheek". There is only one function Log[t] given by Integrate[1/x, {x, 1, t}, Assumptions -> Re[t] > 1 || Im[t] != 0] All other so called logs are just constant multiples of this unique Log. Of course we can give each of them a separate name but this is no different than using the notation Sin[a,x] for, say, a Sin[x]. The statement that there is only one logarithm in "advanced calculus" does not really need any qualification. Andrzej Kozlowski On 13 Feb 2009, at 08:44, Louis A. Talman wrote: > It never fails to amaze me how dogmatic some people can be about the > conventions of notation. > > Or how hard it is for some people to notice a tongue planted firmly > in a cheek. > > On Feb 11, 2009, at 3:16 AM, slawek wrote: > >> U=BFytkownik "Lou Talman" <talmanl at mscd.edu> napisa=B3 w wiadomo=B6ci >> 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: > > > > --Lou Talman > Department of Mathematical and Computer Sciences > Metropolitan State College of Denver > > <http://clem.mscd.edu/%7Etalmanl> > > >

**References**:**Log[x]//TraditionalForm***From:*"slawek" <human@site.pl>

**Re: Log[x]//TraditionalForm***From:*"slawek" <human@site.pl>

**Re: Re: Log[x]//TraditionalForm***From:*"Louis A. Talman" <talmanl@mscd.edu>