There are actually an infinite number of answers, but only one that is real (as said above).
ConditionalExpression[1/2 (1 + (2 I \[Pi] C[1])/Log[3] + Log[27]/Log[3]), C[1] \[Element] Integers]
This basically means that x can be the above expression for every choice of C[1] as an integer. C[1] = 0 corresponds to x = 2. The only Real solution...