Estimate logarithm quickly

[EdS2]

(08-21-2021 03:39 PM)Albert Chan Wrote:  Estimate logorithm quickly, with tiny errors.
...
Both extreme happened to be convergents of log2(3)

C:\> spigot -C log(3)/log(2) | head
1/1
2/1
3/2
8/5
19/12
65/41
...

Just to note, this is Simon Tatham's arbitrary-precision spigot calculator, which deals in continued fractions as well as decimals:
https://www.chiark.greenend.org.uk/~sgta...html#cfrac