If f(x)=log_k(x), find f(k^(-1)) and f^(-1)(2)?

1 Answer
Oct 27, 2016

f(k^(-1))=-1 and f^(-1)(2)=k^2

Explanation:

As f(x)=log_k (x)

f(k^(-1))=log_k (k^(-1))=(-1)log_k k=-1 and

For f^(-1)(2), we will have to find inverse function of f(x).

As f(x)=log_k (x), x=k^f(x) and hence f^(-1)(x)=k^x and

f^(-1)(2)=k^2