Determine the log of a variable in any base
There are multiple logarithmic functions available to determine the log of a variable in SAS. The most used log functions are the natural and common log functions.
The natural LOG function returns the natural (base e) logarithm.
data Ex1; x=log(1); put x=; run;
In Example 1, with the input of 1, SAS returns the expected value of 0 and using Euler’s Number approximation of 2.71828, the result y is very close to 1.
You can use the CONSTANT function that will return the value of a mathematical constant. For Euler’s Number, the notation is ‘E’. From reviewing the log using CONSTANT(‘E’), the expected value of 1 is returned.
data Ex2; x=constant('E'); y=log(constant('E')); put x= y=; run;
For the common log, the SAS function is LOG10. The LOG2 function returns the binary logarithm, or base 2.
Program to Determine the log of a variable in any base
You can compute the log of a variable in any base using the LOG function and the property.
logB(X)=log(X) / log10(B)
X is the variable whose log will be determined. B is the base of the log that will be determined and Y is the log, base b, of x.
data ex1; b=6; do i=1 to 10; x=int(ranuni(12345)*100); /* Y equals the LOG, base B, of X*/ y=LOG10(x)/LOG10(b); output; end; run;