# LN Function – Natural Logarithm – Excel, VBA & Google Sheets

Written by

Editorial Team

Reviewed by

Steve Rynearson

Last updated on November 9, 2023
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This tutorial demonstrates how to use the LN Function in Excel to calculate the natural logarithm to a number.

## LN Function

The LN Function returns the natural logarithm of a number entered.

``=LN(70)``

## LN & EXP Function

The inverse of LN Function is the EXP Function. If the EXP Function is nested within LN Function, it will return the original value.

``=LN(EXP(6))``

Alternatively, the same observation can be made if the argument is given as a power of e.

``=LN(POWER(EXP(1),2))``

Here the POWER Function raises the natural number e to the power of 2.

Note: The number natural e cannot be directly entered in Excel so EXP(1) is used.

## LN & LOG Function

The LN Function is the special case of LOG Function with the base e. LOG(4,e) will return the same result as LN(4).

``=LOG(4,EXP(1))``

## LN Function – Negative Number/Zero

The LN Function will return an error if the argument is zero or a negative number.

``=LN(0)``

``=LN(-9)``

## LN in Google Sheets

The LN Function works exactly the same in Google Sheets as in Excel:

## LN Examples in VBA

You can also use the LN function in VBA. Type:

``application.worksheetfunction.ln(number)``

For the function arguments (number, etc.), you can either enter them directly into the function, or define variables to use instead.

``Application.WorksheetFunction.Ln(5)``

will return the natural logarithm of number 5, which is 1.6094

Also, we can use an existing cell as an input parameter, so if we enter the following VBA command

``Range("B1") = Application.WorksheetFunction.Ln(Range("A1"))``

and the value in cell A1 is 4, we will get the following result:

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