Is the ln(0) undefined? | Student Matrix
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# Currently reading: Is the ln(0) undefined?

#### Zain

##### Member
What is the natural logarithm of zero? I was arguing with my course mate that it's undefined and he keeps insisting it's 1. Who else can prove the correct answer.

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

Let's consider
y = ln(x)
x = e^y

There is no value of y you can substitute to make x=0. So therefore, the natural logarithm of zero is undefined.

#### TheEpicBlock

##### Member
You can't have ln(0) because any number or thing to the power of 0 is one, and you can't have the power of something being 0.

ln(1) = 0 as e to the power 0 is 1.
ln(0) would mean that e to the power of a number is 0 which never occurs at all. So it's undefined.

#### Mars

##### Member
ln(0) is undefined,

However, ln(0) is the number we should raise e to get 0:
So, e raise to the power of x = 0 because we don't have any number x to fill this equation

#### Centrino

##### Member
You are right and the buddy arguing with you is wrong.. Create an account or login to comment