# How to Calculate Antilog of Values in Python

Renesh Bedre    2 minute read

The antilogarithm (antilog) refers to the inverse operation of a logarithmic (log) number. The antilog is used for finding the original number from the log number.

For example, the antilog of the log with a base 10 (log10) value can be found by raising the base value (10) to the power of the log value. If log10(x) = z then the antilog of z is 10z.

The following examples illustrates for how to find antilog of various log bases,

Base Log Antilog
10 log10(5) = 0.6989 100.6989 = 5
2 log2(5) = 2.3219 22.3219 = 5
e log(5) = 1.6094 2.71821.6094 = 5

In Python, you can use the `10**x`, `2**x`, or `np.exp(x)` functions to calculate the antilogs, depending on the base you want to use.

## Example 1: Calculate the antilog of the log10 value

Suppose you have a value of log10 as follows:

``````# import package
import numpy as np

# calculate log10 value
log_val = np.log10(5)

# see log value
log_val
0.6989700043360189
``````

Now, calculate the antilog of log10 value (0.6989) to get the original value of 5.

``````# raise base value 10 to the power of the log10 value
10**log_val
# output
5.0
``````

By taking the antilog of log10 value, we obtained the original value of 5.

## Example 1: Calculate the antilog of the log2 value

Suppose you have a value of log2 as follows:

``````# import package
import numpy as np

# calculate log10 value
log_val = np.log2(5)

# see log value
log_val
2.321928094887362
``````

Now, calculate the antilog of log2 value (2.3219) to get the original value of 5.

``````# raise base value 2 to the power of the log2 value
2**log_val
# output
5.0
``````

By taking the antilog of log2 value, we obtained the original value of 5.

## Example 3: Calculate the antilog of natural log

Suppose you have a value of natural log as follows:

``````# import package
import numpy as np

# calculate log10 value
log_val = np.log(5)

# see log value
log_val
1.6094379124341003
``````

Now, calculate the antilog of natural log value (2.3219) to get the original value of 5.

You can use `np.exp()` function to calculate the antilog of natural log value.

``````# import package
import numpy as np

# calculate antilog
np.exp(log_val)

# output
5.0
``````

By taking the antilog of natural log value, we obtained the original value of 5.