We can write
log y^5 (x^3) = log y (x^k)
Using the change of base theorem we can write
log x^3 log x^k
_______ = ________ simplify
log y^5 log y
3 log x k log x
______ = ________
5 log y log y
(3/5) log (x) / log (y) = (k) log (x) / log (y)
So
(3/5) = k
+1072 
