Christian Heimes <li...@cheimes.de> added the comment:

Welcome to the astounding world of IEEE 754 floating point operations. Python's 
float type is based on C's 64bit double precision float. The value in _math.c 
is as precise as a double is able to contain:

>>> 0.6931471805599453094172321214581 == 0.693147180559945286227
True
>>> 0.6931471805599453094172321214581
0.6931471805599453
>>> 0.693147180559945286227
0.6931471805599453

Strictly speaking any of the numbers in your initial message are wrong. It's 
not possible to express ln2 is a number of finite length. The approximations 
are usually good enough, though.

----------
nosy: +christian.heimes

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Python tracker <rep...@bugs.python.org>
<https://bugs.python.org/issue32783>
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