Question

Show x^(log base x of y) = y

Answer 1

let k=log base x of y then

Answer 2

x^k=y

Answer 3

so, k = log base x of y

Answer 4

thus, k = k (proved)

Answer 5

Ha ha ha..

Answer 6

Let:

\[\log_x(y) = m \implies x^m = y\]

So:

\[\large x^{\log_x(y)} \implies x^{\log_x(x^m)} \implies x^{m \cdot \log_x(x)} \implies x^m = y\]

Answer 7

\[\log_x(x) = 1\]