help with expanding

Question

log base 5(x^2 times y)^4

Answer 1

log5 (x^2y)^4

4 log5(x^2y)

4 [ log5 (x^2)+ log ( y) ]

4 [ 2 log5 (x)+ log ( y) ]

Answer 2

8 log5(x) + 4 log5(y)