The simplified form of the expression 3log₄(y) + 3log₄(a) is log₄(y³a³).
To simplify the expression 3log₄(y) + 3log₄(a), we can use the properties of logarithms.
The property logₐ(b) = c can be rewritten as a^c = b.
Applying this property to the given expression, we get:
3log₄(y) + 3log₄(a) = log₄(y³) + log₄(a³)
= log₄(y³a³)
So, the simplified form of the expression 3log₄(y) + 3log₄(a) is log₄(y³a³).