# What is the natural log of zero?

##### 1 Answer

Difficult one!

#### Explanation:

This is a tricky question because you do not have a unique answer...I mean, you do not have an answer such as: "the result is 3".

The problem here rests in the definition of log:

so basically with the log you are looking for a certain exponent that when you rise the base to it gives you the integrand.

Now, in your case you have:

where

But how do you find the right

Actually it doesn't work...you cannot find it...you cannot rise to the power of a number and get zero!

If you try with a positive

One thing you can do is to manipulate it to get as near as possible to zero...

if you take a negative exponent you can get almost there:

if

for example:

basically if

So I would say that