The Excel IMLOG10 Function

Related Function:
IMLN Function

Common Logarithm of a Complex Number

The common (base 10) logarithm of a complex number is calculated by the following equation :

Equation for the Common Logarithm of a Complex Number
See Wikipedia for more information on complex numbers.

Basic Description

The Excel Imlog10 function returns the common (base 10) logarithm of a supplied complex number.

The format of the function is:

IMLOG10( inumber )

where the inumber argument is a complex number.

Note that complex numbers are simply stored as text in Excel. 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.

Also 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.

Therefore, the inumber argument can be supplied to the Excel Imlog10 function as either:

- A simple number
or
- A complex number encased in quotation marks - eg. "5+3i"
or
- A reference to a cell containing a complex number or a numeric value
or
- A value returned from another Excel function or formula

These are all included in the examples below.


Imlog10 Function Examples

The spreadsheet below shows 4 different examples of the Imlog10 function.

The format of the functions are shown in the spreadsheet on the left and the resulting values are shown in the spreadsheet on the right.

 Formulas:
  A B
1   =IMLOG10( 2 )
2   =IMLOG10( "1-2i" )
3 2.5-i =IMLOG10( A3 )
4   =IMLOG10( COMPLEX( 1, -1 ) )
 Results:
  A B
1   0.301029995663981
2   0.349485002168009-0.480828578784234i
3 2-i 0.349485002168009-0.201359598136687i
4   0.150514997831991-0.34109408846046i

Note that, in cell B1 of the above spreadsheet, the supplied inumber argument is the integer 2, which is equal to the complex number 2+0i.

Further information and examples of the Excel Imlog10 function can be found on the Microsoft Office website


Imlog10 Function Errors

If you get an error from the Excel Imlog10 Function, this is likely to be one of the following:

Common Errors
#NUM! - Occurs if the supplied inumber argument is not recognised as a complex number
#NAME? -

Occurs when Analysis ToolPak add-in is not enabled in your Excel.
You will need to enable the add-in if you want to use the Excel complex number functions.

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