# Python log: The Complete Guide

Python log(x, base) function is used to compute a’s natural logarithm (base e). If 2 arguments are passed, it computes the logarithm of the desired base of argument a, numerically value of log(a)/log(Base).

## Python log(x, base)

Python log(x, base) is a built-in function used to get the essential logarithm function. The log() function is used to get a log of x of a particular base. Unfortunately, the log() function is under the math library, so we need to import the math library to use the log() function.

### Syntax

```math.log(num, Base)
```

### Arguments

This function takes two arguments:

num -> whose log we want to find

Base -> with which base do we want to find a log

### Return Value

This function can return two types of values:

1. Return natural value if only 1 argument is passed.
2. Return the log with specified based if two arguments are passed.

But the log(x, base) function throws a ValueError exception if any value is passed as an argument.

### Example

See the following code.

```# Importing math library
import math

# initializing values
num = 15
base = 5

print("Natural log of ", num, " is: ", math.log(num))
print("The logarithm of ", num, " of the base ",
base, " is: ", math.log(num, base))
```

#### Output

```Natural log of  15  is:  2.70805020110221
The logarithm of  15  of the base  5  is:  1.6826061944859854
```

In this program, we initialized the value, then calculated the natural logarithm of the number, and in the next line, we calculated the logarithm of base 5.

### Example 2

See the following code.

```# Importing math library
import math

# By taking input from user
num = int(input("Enter the number: "))
base = int(input("Enter the base: "))

print("Natural log of ", num, " is: ", math.log(num))
print("Logarithm of base ", base, " of the number ",
num, " is: ", math.log(num, base))
```

#### Output

```Enter the number: 12
Enter the vase: 8
Natural log of  12  is:  2.4849066497880004
Logarithm of base  8  of the number  12  is:  1.1949875002403856
```

In this program, we have taken input from the user, then calculated the natural logarithm of the number, and in the next line, we calculated the logarithm of base 8.

## Conclusion

Python offers many built-in logarithmic functions under the module “math”, which allows us to compute logs using a single line. In the math module, two positions for calculating logarithmic values are defined. The log() function returns the natural logarithm of the number, whereas log10() calculates the standard logarithm, i.e., to the base 10.