# 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 (log_{10}) value can be found by raising the base value (10) to the
power of the log value. If log_{10}(x) = z then the antilog of z is 10^{z}.

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

Base |
Log |
Antilog |
---|---|---|

10 | log_{10}(8) = 0.90309 |
10^{0.90309} = 8 |

2 | log_{2}(8) = 3 |
2^{3} = 8 |

e | log(8) = 2.079442 | 2.7182^{2.079442} = 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 log_{10} value

Suppose you have a value of log_{10} as follows:

```
# calculate log10 value
log_val = log10(8)
# see log value
log_val
0.90309
```

Now, calculate the antilog of log_{10} 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 log_{10} value, we obtained the original value of 8.

## Example 1: Calculate the antilog of the log_{2} value

Suppose you have a value of log_{2} as follows:

```
# calculate log10 value
log_val = log2(8)
# see log value
log_val
3
```

Now, calculate the antilog of log_{2} 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 log_{2} 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.

**Related**: How to Calculate Antilog of Values in Python

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- Introduction to Statistics
- R Programming
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