# IMLN function

This article describes the formula syntax and usage of the IMLN function in Microsoft Excel.

## Description

Returns the natural logarithm of a complex number in x + yi or x + yj text format.

## Syntax

IMLN(inumber)

The IMLN function syntax has the following arguments:

• Inumber    Required. A complex number for which you want the natural logarithm.

## Remarks

• Use COMPLEX to convert real and imaginary coefficients into a complex number.

• The natural logarithm of a complex number is: ## Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Formula

Description

Result

=IMLN("3+4i")

Natural logarithm of 3+4i

1.6094379124341+0.927295218001612i

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