# Manuals/calci/IMLN

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**IMLN(Complexnumber)**

- is of the form .
- IMLN(),returns the natural logarithm of a complex number.

## Description

- This function gives the Natural Logarithm of a complex number.
- In , where Complexnumber is in the form of . i.e & are the real numbers.
- And is the imaginary unit .
- Normally Complex logarithm function is an inverse of the Complex exponential function.
- A logarithm of is a complex number such that and it is denoted by .
- If with & are real numbers then natural logarithm of a complex number :

adding integer multiples of gives all the others.

- We can use COMPLEX function to convert real and imaginary number in to a complex number.

## ZOS

- The syntax is to calculate the natural logarithm of a complex number in ZOS is .
- is of the form

- For e.g.,IMLN("10+17i")

## Examples

- IMLN("3-2i")=1.28247467873077-0.588002603547568i
- IMLN("6+7i")=2.22132562824516+0.862170054667226i
- IMLN("4")=1.38629436111989 +0i
- IMLN("10i")=2.30258509299405+1.5707963267949i

## Related Videos

## See Also

## References