# Vocabulary/hatdot

 ^. y Natural Log

Rank 0 -- operates on individual atoms of y, producing a result of the same shape -- WHY IS THIS IMPORTANT?

${\displaystyle \ln y}$ or ${\displaystyle \log _{e}y}$ - the natural logarithm of y .

   ^. 2
0.693147
^. 2.7
0.993252
^. 100
4.60517
^. 1
0


### Related Primitives

Exponential (^ y)

### Details

The natural logarithm of a complex number has an imaginary part in the interval (-π,π].

 x ^. y Logarithm

Rank 0 0 -- operates on individual atoms of x and y, producing a result of the same shape -- WHY IS THIS IMPORTANT?

The logarithm of y to the base x .

   10 ^. 2
0.30103
10 ^. 100
2


Power (x ^ y)