Excel LN Function
The LN function returns the natural logarithm of a given number. It is the given number’s logarithm to the base of the mathematical constant e, where e equals 2.718281828459 approximately.
Syntax
=LN (number)
Arguments
- Number (required): The positive number that you want to calculate the natural logarithm of.
Return value
The LN function returns a positive numeric value.
Function notes
- Number, the only argument in the LN function, should be supplied as a numeric value.
- LN function will return the #VALUE! error if number is non-numeric.
- LN function will return the #NUM! error if number ≤ 0.
- Set the number to constant e (2.718281828), the value of 1 will be returned.
- LN is the inverse of EXP. In other words, the input to the LN function is the output of the EXP function, vice versa. EXP returns e raised to the power of a number.
Examples
Supposing, you want to round the numbers to even integers in the table below. Please do as follows.
1. Copy the formula below into cell C4.
=LN (B4)
2. Then drag the fill handle down to the cells you want to apply this formula too. The results are as the following screenshot shows.
Notes:
- The given number in B6 is the constant e, and also the result returned from the EXP formula:
=EXP (1)
- The LN formula in C6 can be seen as this:
=LN (EXP(1)) >>> returns 1, the natural logarithm of the constant e.
- The given number in B7 is also the result returned from the EXP formula:
=EXP (4)
- The LN formula in C7 can be seen as this:
=LN (EXP(4)) >>> returns 4, the natural logarithm of e raised to the power of 4.
- We can directly input value in the number argument in the formula. For example, the formula in cell C4 can be changed to:
=LN (1) >>> returns 0
Relative Functions:
-
Excel EVEN Function
The EVEN function rounds numbers away from zero to the nearest even integer.
-
Excel EXP Function
The EXP function returns the result of the constant e raised to the nth power.
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