In this tutorial, you’ll learn how calculate the Python
e, or the Euler’s Number in Python. The number is equal to approximately 2.71828, and represents the base of the natural logarithm. The number is also often used in calculating compound interest and other natural phenomena.
You’ll learn how to use the Python
math library to calculate the Euler number,
e. This can be done use the built-in constant
math.e as well as the function
The Quick Answer: Use math.e
Table of Contents
What is Euler’s Number?
Euler’s number, often referred to simply as
e, is a mathematical constant that serves many purposes, including in calculating compound interest. The number is found in many natural phenomena and, because of this is found in many different mathematical calculations.
For example, the value
e is used so often in calculating logarithms that the natural logarithm, which uses
e as its base, is simply referred to as
ln(). The constant is used frequently in compound interest, standard normal distributions, and in calculus.
The value of
e is roughly 2.71828, but the more precise the value is, the more accurate your calculations will be. Because of this, it’s helpful to use the constant value or calculate it from scratch.
In the next section, you’ll learn how to use the Python
math library to use the constant for the value of
How to Use Python Math to Find the e Constant
math library comes packaged with a number of important constants, among them
Because we need to reference these values often, it can be important to know how to access them.
Let’s see how we can access the value for
e using the
# Print the value of e with math.e import math e = math.e print(e) # Returns: 2.718281828459045
Let’s see what we’ve done here:
- We imported the
- We access the constant by using the
In the next section, you’ll learn how to use
math.exp() function to calculate Euler’s number.
Want to learn more about calculating the square root in Python? Check out my tutorial here, which will teach you different ways of calculating the square root, both without Python functions and with the help of functions.
How to Use the Python Math Exp Function to Calculate Euler’s Number
math library comes with a function,
exp(), that can be used to raise the number
e to a given power.
Say we write
exp(2), this would be the same as writing
Let’s take a look at how we can use Python to do this:
# Print the value of e with math.exp() import math print(math.exp(2)) # Returns: 7.38905609893065
The Python documentation actually notes that using the
math.exp() function may be a more accurate way of getting the value of
Since the we can use the
math.exp() function to raise
e to a provided power, we can actually just pass the value of 1 into the function to return the value of
Let’s see how we can do this using Python and the
# Print the value of e with math.exp() import math print(math.exp(1)) # Returns: 2.718281828459045
In the next section, you’ll learn how to use Python and the
math library to use the value of e to calculate a natural logarithm.
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How to Use e to Calculate the Natural Logarithm in Python
One special logarithm often used in many practical real-world problems is to use what is known as the natural logarithm. Because the use of the natural logarithm is so common, it’s given a special way of being written
ln(), which is the same as writing
Now that we know how to get the value of e, we can now calculate a natural logarithm in Python:
# Calculate the natural logarithm with math import math value1 = math.log(1, math.e) value2 = math.log(2, math.e) value3 = math.log(3, math.e) print(value1) print(value2) print(value3) # Returns # 0.0 # 0.6931471805599453 # 1.0986122886681098
Now, one interesting thing to note is that when no
base is passed into the
math.log() function, it defaults to the value of
e. Because of this, we don’t actually need to pass it into the function.
Let’s verify this by passing in a few test items to see if we get the same values as indicated above:
# Calculate the natural logarithm with math import math value1 = math.log(1) value2 = math.log(2) value3 = math.log(3) print(value1) print(value2) print(value3) # Returns # 0.0 # 0.6931471805599453 # 1.0986122886681098
We can see that this returns the same values!
Want to learn how to calculate and use the natural logarithm in Python. Check out my tutorial here, which will teach you everything you need to know about how to calculate it in Python.
In this tutorial, you learned how to use Python to calculate and use the value of
e, Euler’s number. You learned how to use the Python
math library which comes with a constant value as well as a function to calculate the value from scratch. You also learned how to use the Python
e constant to calculate the natural logarithm.
To learn more about the Python
math library, check out the official documentation here.