Verified answer

Using the role of logs that says p log5 a = log5 (a^p), we can write this as

log5 (16^(1/2)) - log5 (x^3) + log5 (y^4)

Of course 16^(1/2) = 4, so this can be written

log5 (4) - log5( x^3) + log5 (y^4)

Then we can use the rule log5 (a) - log5(b) = log5 (a/b) to get

log5 (4/x^3) + log5 (y^4)

and the rule log5 (a) + log5 (b) = log5 (ab) gives

log5 (4y^4/x^3)