What is the logarithm of zero? Why log(0) is not defined.
The real logarithmic function logb(x) is defined only for x>0.
We can't find a number x, so the base b raised to the power of x is equal to zero:
b x = 0 , x does not exist
So the base b logarithm of zero is not defined.
logb(0) is not defined
For example the base 10 logarithm of 0 is not defined:
log10(0) is not defined
The limit of the base b logarithm of x, when x approaches zero from the positive side (0+), is minus infinity: