Is f (x) = LnX3 and G (x) = 3lnx the same function? Is lnx2 and 2lnx the same function? Why?

Is f (x) = LnX3 and G (x) = 3lnx the same function? Is lnx2 and 2lnx the same function? Why?

LnX3 and 3lnx are the same function
Lnx2 and 2lnx are not, the former domain is x not 0, the latter domain is x > 0