Hello, I'm currently stuck and need some help solving this proof.

x^log(Y) = y^log(X)

i am not really sure where to start..

i thinking about using the log definition first, something like

Y = log(X)

X = b^Y

and then taking log of both sides to get

log(X) = log(Y)

though, i am pretty lost from here. I am not even sure if I am doing this right, since I was told to work backwards first, then fowards.

any help / suggestions would be awesome !