The Excel LOG Function

Related Function:
LN Function

The Logarithm of a number, to a given base, is the power to which the base must be raised to give that number.


If   ax = b   Then   Lna(b) = x

Basic Description

The Excel LOG function calculates the logarithm of a given number, to a supplied base.

The format of the function is:

LOG( number, [base] )

where the arguments are listed in the table below :

number-The positive real number that you want to calculate the logarithm of.

An optional argument that specifies the base to which the logarithm should be calculated.

If omitted, the [base] argument takes the value 10 (i.e. the logarithm to the base 10 is calculated).

Excel Log Function Examples

The spreadsheet below shows four examples of the Excel Log function:

1=LOG( 64, 2 )
2=LOG( 100 )
3=LOG( 4, 0.5 )
4=LOG( 500 )
16  26 = 64; Therefore, Log2(64) = 6
22  102 = 100; Therefore, Log10(100) = 2
3-2  0.5-2 = 4; Therefore, Log0.5(4) = -2
42.698970004  102.698970004 = 500; Therefore, Log10(500) = 2.698970004

Note that, in cells A2 and A4 of the above spreadsheet, the [base] argument has not been supplied to the function and so, in these cases, base 10 is used.

Further examples of the Excel Log function can be found on the Microsoft Office website.

Log Function Errors

If you get an error from your Excel Log function, use the following table to diagnose the likely cause:

Common Errors
#NUM!-Produced if either the supplied number argument or the supplied [base] argument is negative or zero.
#DIV/0!-Produced if the supplied [base] argument is equal to 1.
#VALUE!-Produced if the supplied number argument or the supplied [base] argument is not a numeric value.