What does ln(0) = ?

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

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.

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

See also