How to use IMLN function in Excel?

The `IMLN` function in Excel is used to return the natural logarithm of a complex number. Here’s a step-by-step guide on how to use this function:

Syntax

IMLN(inumber)
  • inumber: This is the complex number for which you want the natural logarithm. The complex number can be entered as a text string in the format `”a+bi”` or `”a+bj”`, where `a` and `b` are numbers.

Steps to Use IMLN Function

  • Open Excel: Start Excel and open a new or existing worksheet.
  • Select a Cell: Click on the cell where you want the result to be displayed.
  • Enter the Function:
    • Begin by typing `=` to indicate a formula.
    • Type `IMLN(` to start the function.
    • Enter the complex number. You can either type it directly as a string (e.g., `”3+4i”`) or refer to another cell containing the complex number.
    • Close the parenthesis `)` and press `Enter`.

Example Usage

Suppose you want to find the natural logarithm of a complex number `3+4i`.

  =IMLN(A1)
  • Input the complex number in a cell: Type `3+4i` in cell A1.
  • Use `IMLN` in another cell:

or directly as:

  =IMLN("3+4i")

This will compute the natural logarithm of the complex number `3+4i`.

Notes

  • Ensure that the complex numbers are in the correct format. Use the letter “i” or “j” for the imaginary part.
  • You can combine this with other Excel functions to perform more complex calculations involving logarithms and complex numbers.

By using the `IMLN` function effectively, you can handle complex mathematical operations in Excel with ease.

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