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. It is also contained in the ring of algebraic periods.