The LN function in Google Sheets is a powerful tool for mathematical analysis, allowing users to calculate the natural logarithm of a given number. The key aspect of this function is that it utilizes Euler’s number as the base, which is approximately equal to 2.71828. This function is particularly useful in fields such as finance, statistics, and various scientific applications where exponential growth or decay is analyzed.

Syntax

LN(number)

• number: The positive numeric value for which you want to calculate the natural logarithm. It must be greater than zero.

Example #1

=LN(2.71828)

This function computes the natural logarithm of Euler’s number itself, resulting in a value of approximately 1.00000.

Example #2

=LN(20)

Here, the function calculates the natural logarithm of 20, yielding a value of approximately 2.99573, which reflects the exponential growth rate needed to reach the value of 20.

Example #3

=LN(100)

In this case, the function will calculate the natural logarithm of 100, resulting in approximately 4.60517, demonstrating how the output grows as the input increases.

Error handling

• NUM! This error occurs if the number provided is less than or equal to zero, as the natural logarithm is undefined for these values.
• VALUE! This error is triggered when a non-numeric argument is supplied, indicating that the function expects a numeric input only.

Conclusion

In summary, the LN function is an essential mathematical operation available in Google Sheets, facilitating the calculation of the natural logarithm of positive numeric values. By utilizing this function, users can enhance their data analysis capabilities, particularly in scenarios involving exponential relationships.