Ln (Natural Log) in Python

14    Asked by ShantellRoye in Python , Asked on Jun 4, 2025

How do you calculate the natural logarithm (ln) in Python? What built-in functions or libraries can you use to find the natural log of a number accurately and efficiently?

Answered by Vrinda

In Python, calculating the natural logarithm (ln), which is the logarithm to the base e (where e ≈ 2.71828), is straightforward using the built-in math module. The natural log is commonly used in mathematics, statistics, and scientific computations.

How to calculate natural log (ln) in Python:

Use the math.log() function from the math module:

import math
result = math.log(10)
print(result) # Output: 2.302585092994046

 By default, math.log(x) calculates the natural logarithm (ln) of x.

If you want to use a different base, such as base 10 or base 2, you can pass the base as a second argument:

math.log(100, 10)  # Output: 2.0 (log base 10)
math.log(8, 2) # Output: 3.0 (log base 2)

Points to remember:

  • The input value must be greater than 0; otherwise, you'll get a ValueError.
  • For base 10 logs, you can also use math.log10(x).
  • For base 2 logs, use math.log2(x).

Summary:

  • Use math.log(x) for the natural log.
  • Make sure x > 0 to avoid errors.
  • Other log bases are also supported with either a second argument or specific functions like log10() or log2().
  • The math.log() function makes it easy to calculate natural logs with high precision, making it a go-to choice for anyone doing numerical or scientific work in Python.



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