The Excel LN Function

Related Function:
LOG Function

Natural Logarithm

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

The Natural Logarithm of a number, (generally written as Ln(x) or Loge(x) ), is the logarithm to the base e.


If   ex = y   Then   Ln(y) = x

Basic Description

The Excel LN function calculates the natural logarithm of a given number.

The format of the function is:

LN( number )

where the number argument is a positive real number that you want to calculate the natural logarithm of.

Excel Ln Function Examples

In the example below, the Excel Ln function is used to calculate the natural logarithms of three different numbers, 1, 100 and 0.5:

1 =LN( 1 )
2 =LN( 100 )
3 =LN( 0.5 )
  A B
1 0   e0 = 1; Therefore, Ln(1) = 0
2 4.605170186   e4.605170186 = 100; Therefore, Ln(100) = 4.605170186
3 -0.693147181   e- 0.693147181 = 0.5; Therefore, Ln(0.5) = - 0.693147181

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

Excel Ln Function Errors

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

Common Errors
#NUM! - Produced if the supplied number argument is negative or zero
#NAME? - Produced if the supplied number argument is not a numeric value
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