# What does ln(0) = ?

### What is the natural logarithm of zero?

ln(0) = ?

The real natural logarithm function ln(x) is defined only for x>0.

So the natural logarithm of zero is undefined.

ln(0) is undefined

### Why the natural logarithm of zero is undefined?

Since ln(0) is the number we should raise e to get 0:

*e*^{x} = 0

There is no number x to satisfy this equation.

### Limit of the natural logarithm of zero

The limit of the natural logarithm of x when x approaches zero from the
positive side (0+) is
minus infinity:

Natural logarithm of one
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## See also