Engineering - IMLN Function



Description

The IMLN function returns the natural logarithm of a complex number in x + yi or x + yj text format.

The natural logarithm of a complex number is −

$$\ln(x+yi)=\ln\sqrt{x^2+y^2}+i\tan^{-1}\left (\frac{y}{x} \right )$$

Syntax

IMLN (inumber)

Arguments

Argument Description Required/ Optional
Inumber A complex number for which you want the natural logarithm. Required

Notes

  • Complex Numbers in Excel are simply stored as text.

  • When a text string in the format "a + bi" or "a + bj" is supplied to one of Excel's built-in Complex Number Functions, this is interpreted as a complex number

  • The complex number functions can accept a simple numeric value, as this is equivalent to a complex number whose imaginary coefficient is equal to 0.

  • Use COMPLEX to convert real and imaginary coefficients into a Complex Number.

  • If inumber is not recognized as a complex number, IMLN returns the #NUM! error.

  • If inumber is a logical value, IMLN returns the #VALUE! Error.

Applicability

Excel 2007, Excel 2010, Excel 2013, Excel 2016

Example

IMLN Function
advanced_excel_engineering_functions.htm
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