Below is a quote from Sandokahn in the flat earth believers forum. It is part of one of two responses to this thread. Why he posted this in a thread in which only a select few can reply is anybody's guess. Have a read through the post and see what you think.
Here is a formula which the conspirators missed while inventing Euler's work (I discovered this formula back in 1998; it makes any and all logarithm tables obsolete; LN v = natural logarithm of v):
LN v = ((-2 +{2+[2+...(2+ 1/v + v)^1/2]^1/2}^1/2))^1/2 x 2^n
n+1 parantheses to evaluate - in the last parenthesis we substract 2 and take the square root one last time (n+1), before we multiply the result by 2^n
For v very large, we can omit the term 1/v
Example LN 9999999999 = 23.02585093 (8 significant digits)
For our formula we will use n=12
The first parenthesis 2 + v (where v, of course, is equal to 9999999999), and we calculate the square root, (2 + v/2)^1/2 (n=1)
We add 2 to the result, and calculate the next square root (n=2), and so on, for n=12 we will obtain: 2.000031602
So for n=13 (12 + 1, n+1), we substract 2 in the last parenthesis, and calculate the last square root, obtaining:
5.62154783 x 10^-3
We multiply by 2^12, that is 4096 and get the final excellent approximation:
23.02585991