# How to Calculate Antilog of Values in R

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(8) = 0.90309 100.90309 = 8
2 log2(8) = 3 23 = 8
e log(8) = 2.079442 2.71822.079442 = 8

In R, you can use the `10^x`, `2^x`, or `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:

``````# calculate log10 value
log_val = log10(8)

# see log value
log_val
0.90309
``````

Now, calculate the antilog of log10 value (0.90309) to get the original value of 8.

``````# raise base value 10 to the power of the log10 value
10^log_val
# output
8
``````

By taking the antilog of log10 value, we obtained the original value of 8.

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

Suppose you have a value of log2 as follows:

``````# calculate log10 value
log_val = log2(8)

# see log value
log_val
3
``````

Now, calculate the antilog of log2 value (3) to get the original value of 8.

``````# raise base value 2 to the power of the log2 value
2^log_val
# output
8
``````

By taking the antilog of log2 value, we obtained the original values of 8.

## Example 3: Calculate the antilog of natural log

Suppose you have a value of natural log as follows:

``````# calculate log10 value
log_val = log(8)

# see log value
log_val
2.079442
``````

Now, calculate the antilog of natural log value (2.079442) to get the original value of 8.

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

``````# calculate antilog
exp(log_val)

# output
8
``````

By taking the antilog of natural log value, we obtained the original values of 8.