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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