Math Is Fun Forum

Identity

Member

Registered: 2007-04-18

Posts: 934

Approximating log_10s

Is there any way to evaluate log to the base 10 of any number without a calculator? I don't really care if it's by trial and error, similar to the trial and error used in finding roots, but is there an algorithm or method to doing it? Thanks.

Stanley_Marsh

Member

Registered: 2006-12-13

Posts: 345

Re: Approximating log_10s

I have an idea , but I haven't work out the whole method
if you draw  the graph of 

they will be symmetric , I think applying geometric method will help , still don't know yet...

---

Numbers are the essence of the Universe

Stanley_Marsh

Member

Registered: 2006-12-13

Posts: 345

Re: Approximating log_10s

Oh , right , I remember there's an expansion of it.

Last edited by Stanley_Marsh (2007-04-29 02:46:27)

---

Numbers are the essence of the Universe

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: Approximating log_10s

Thanks stanley, but isn't that the natural log?

Stanley_Marsh

Member

Registered: 2006-12-13

Posts: 345

Re: Approximating log_10s

Sorry , also

---

Numbers are the essence of the Universe

Identity

Member

Registered: 2007-04-18

Posts: 934

Re: Approximating log_10s

Cool, thanks for that. Must take a while to calculate manually