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Python math.exp() Method
The Python math.exp() method is used to compute the Euler's number 'e' raised to the power of a numeric value.
The Euler’s number is simply defined as a mathematical expression that is usually used as the base of natural logarithms. It is a non-terminating and a non-recurring decimal number that holds the value of 2.718281828459045… However, the number is constricted to only two decimals in most problems to be solved, i.e., 2.71.
This Euler’s number is mostly used in problems that deal with exponential functions (either increasing or decreasing). The number is denoted by a letter e.
Note − This function is not accessible directly, so we need to import math module and then we need to call this function using math static object.
Syntax
Following is the syntax for the Python math.exp() method −
math.exp( x )
Parameters
x − This is the exponent value.
Return Value
This method returns exponential of x: ex.
Example
The following example shows the usage of the Python math.exp() method. In here, we are trying to find the exponential values of the Euler's number when it is raised to positive values.
import math # Create two number objects with one integer and one float x = 3 y = 5.6 # Calculate the exponent for both numbers exp1 = math.exp(x) exp2 = math.exp(y) # Display the return values print("The exponent of x is", exp1) print("The exponent of y is", exp2)
When we run above program, it produces following result −
The exponent of x is 20.085536923187668 The exponent of y is 270.42640742615254
Example
The result of the Euler's number raised to a number is always positive, even if the number is negative.
In the following example, we are creating two number objects with negative values and passing them as arguments to this method. The method then calculates the exponential value with these objects and returns them.
import math # Create two number objects with one integer and one float x = -5 y = -0.6 # Calculate the exponent for both numbers exp1 = math.exp(x) exp2 = math.exp(y) # Display the return values print("The exponent of x is", exp1) print("The exponent of y is", exp2)
Once we compile and run the given program, the output is displayed as follows:
The exponent of x is 0.006737946999085467 The exponent of y is 0.5488116360940265
Example
If the Euler's number is raised to an invalid number, the result will also be an invalid number.
Here, we are creating an object containing a NaN value in it. In Python, we usually create a NaN value object using float(). This object is then passed as an argument to the exp() method which calculates the exponential value of it.
import math # Create a number objects with a float NaN value x = float("nan") # Calculate the exponent for NaN exp = math.exp(x) # Display the return values print("The exponent of x is", exp)
Let us compile and run the program above, to produce the output as follows −
The exponent of x is nan
Example
If the Euler's number is raised to either positive infinity or negative infinity, the return value will be positive infinity and 0 respectively.
In this example, we are creating an object containing a infinity values in it. In Python, we usually create a infinity value objects using float(). This object is then passed as an argument to the exp() number which calculates the exponential value of it.
import math # Create two number objects with float infinity values x = float("INF") y = float("-INF") # Calculate the exponent for NaN exp1 = math.exp(x) exp2 = math.exp(y) # Display the return values print("The exponent of x is", exp1) print("The exponent of y is", exp2)
The exponent of x is inf The exponent of y is 0.0
Example
If we pass a non-numeric value as an argument to this method, a TypeError is raised.
import math # Create a string object x = 'a' # Calculate the exponent for x exp = math.exp(x) # Display the return values print("The exponent of x is", exp)
The output for the program above is displayed as follows −
Traceback (most recent call last): File "main.py", line 7, inexp = math.exp(x) TypeError: must be real number, not str