Log¶

Natural logarithm — Log[b, x] gives the logarithm of x in base b.

$ wo 'Log[E]'
1

$ wo 'Log[10, 100]'
2

The result collapses to a rational exponent for reciprocal and fractional powers of the base.

$ wo 'Log[2, 1/8]'
-3

$ wo 'Log[4, 1/2]'
-1/2

Log[E^z] unwraps a numeric complex exponent, reducing the imaginary part into (-Pi, Pi].

$ wo 'Log[E^(2 + 3 I)]'
2 + 3*I

$ wo 'Log[E^(5 I)]'
5*I - (2*I)*Pi