Natural logarithm of 2

The decimal value of the natural logarithm of 2 (sequence A002162 in the OEIS)is approximately The decimal value of the natural logarithm of 2 (sequence A002162 in the OEIS)is approximately The logarithm of 2 in other bases is obtained with the formula The common logarithm in particular is (OEIS: A007524) The inverse of this number is the binary logarithm of 10: By the Lindemann–Weierstrass theorem, the natural logarithm of any natural number other than 0 and 1 (more generally, of any positive algebraic number other than 1) is a transcendental number. Although not proven, empirical evidence suggests that ln(2) is a normal number. The decimal counts in the first 600 billion digits are as follows (γ is the Euler–Mascheroni constant and ζ Riemann's zeta function.) (See more about Bailey–Borwein–Plouffe (BBP)-type representations.)