Table of Contents
To find the antilog of values in R, you would use the exp() function. This function takes the natural log of a number, which is the inverse of the antilog. To use this function, you would enter exp(value), where value is the number for which you want to find the antilog. The output of this function will be the antilog of value.
The antilog of a number is the inverse of the log of a number.
So, if you calculate the log of a number you can then use the antilog to get back the original number.
For example, suppose we start with the number 7. If we take the log (base 10) of 7 then we would get .845:
log10(7) = .845
The antilog (base 10) of the value 0.845 can be found by taking 10 raised to the power of 0.845:
10.845 = 7
The antilog allowed us to get back the original number.
The following table shows how to calculate the antilog of values in R according to their base:
| Base | Number | Log | Antilog |
|---|---|---|---|
| n | x | log(x, n) | x^n |
| e | x | log(x) | exp(x) |
| 10 | x | log10(x) | 10^x |
The following examples show how to calculate the antilog of values in R using different values for the base.
Example 1: Calculating the Antilog of Base 10
Suppose we take the log (base 10) of the value 7:
#define original value original = 7 #take log (base 10) of original value log_original = log10(original) #display log (base 10) of original value log_original [1] 0.845098
In order to get back the original value of 7, we can take the antilog by raising 10 to the power of 0.845098:
#take the antilog
10^log_original
[1] 7
By taking the antilog, we were able to obtain the original value of 7.
Example 2: Calculating the Antilog of a Natural Log
#define original value original = 7 #take natural log of original value log_original = log(original) #display natural log of original value log_original [1] 1.94591
In order to get back the original value of 7, we can take the antilog by raising e to the power of 1.94591:
#take the antilog
exp(log_original)
[1] 7
By taking the antilog, we were able to obtain the original value of 7.
Example 3: Calculating the Antilog of Base x
Suppose we take the log (base 5) of the value 7:
#define original value original = 7 #take log (base 5) of original value log_original = log(original, 5) #display log (base 10) of original value log_original [1] 1.209062
In order to get back the original value of 7, we can take the antilog by raising 5 to the power of 1.209062:
#take the antilog
5^log_original
[1] 7
By taking the antilog, we were able to obtain the original value of 7.