Hello, I am trying to solve the problem below but am not sure how to go about it. Does anyone have any ideas or advice on how to solve this problem?

Let X~N(3,5) and Y~N(-7,2) be independent. Find values of C1,C2,C3,C4,C5,C6 such that

C1(X+C2)^C3

-------------- ~ t(C6)

(Y+C4)^C5

Thank you!