Steven D'Aprano <steve+pyt...@pearwood.info> added the comment:

Thanks for the link to the Stackoverflow discussion. Currently there are three 
answers: two (correctly) answer that the constant as given is the most accurate 
value for IEEE-754 floats.

Tim Peters has answered that: https://stackoverflow.com/a/48653387

"Either way, the code ensures the best 53-bit approximation to log(2) will be 
used."

so there is no other value that ln2 can be given that is more accurate given 
the limitation of 53-bits.

https://stackoverflow.com/a/48653387

The difference between the given value and the mathematically precise value is 
not a bug but intentional. I'm not closing this ticket as I think that this 
should be documented in the source, to prevent future confusion.

----------
nosy: +steven.daprano, tim.peters
stage:  -> needs patch

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<https://bugs.python.org/issue32783>
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