Exact values

Question

Find the exact value pf 5∧log_5(k) Where k is a positive constant. 

Answer 1

The answer is just K, for k>0

 

raising the log of a particular base to the same power returns the argument.

 

Also taking log of the exponent with the same base as the log also returns the argument.

 

So B^ logB(x) = x

and

   logB(B^x) = x