Answer:
x = nπ/3 +1/3 . . . . n ∈ ℤ
Step-by-step explanation:
You want the solutions to tan(3x -1) = 0.
The tangent function is zero for multiples of π. That means ...
3x -1 = nπ
3x = nπ +1 . . . . add 1
x = (nπ +1)/3 . . . . . divide by 3
The solutions are ...
x = nπ/3 +1/3 . . . . . n ∈ ℤ