# Details of logarithmic calculations?

1. Sep 14, 2005

### kiru

From where I can get the details of lograthmic calculations?How the values are found?and on what basis?

2. Sep 14, 2005

### Jameson

Do you want to know for instance how $$\log{3}$$ is found? That kind of calculation?

3. Sep 15, 2005

### kiru

Actually I want to know this:We know that log{2} is 0.3010.How it is calculated?

4. Sep 15, 2005

### Werg22

I would have the same question + how cosines are calculated.

5. Sep 15, 2005

### HallsofIvy

Staff Emeritus
There are a variety of ways.

The simplest is to use "Taylor's Series". It can be shown, in Calculus, that for x between 0 and 2, ln(x)= (x-1)- (1/2)(x-1)2+ (1/3)(x-1)3-...- ((-1)n/n)(x-1)n+... That infinite series does not converge very fast but it will give close to the correct value eventually.