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

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Answer 1 · 2016-10-27T14:17:59

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

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

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

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