# What is the natural log of -0.2877?

##### 1 Answer

If you are talking about

The principal Complex natural logarithm is:

#ln(-0.2877) = ln(0.2877)+pii ~~ -1.2458+pii#

#### Explanation:

**Real natural logarithm**

The function

Since negative numbers (and zero) are not in the range of

**Complex natural logarithm**

The function

It is many to one, e.g.

#ln(z) = ln abs(z) + Arg(z)i#

In particular, for negative Real numbers, we have:

#ln(x) = ln(-x) + pii#

Hence:

#ln(-0.2877) = ln(0.2877)+pii ~~ -1.2458+pii#