To solve the equation, we can take the cube root of both sides:

∛((17x-11)^3) = ∛216

Simplifying the left side:

17x - 11 = ∛216

Now, let's find the cube root of 216:

∛216 = 6

Substituting this value back into the equation:

17x - 11 = 6

Adding 11 to both sides:

17x = 17

Dividing both sides by 17:

x = 1

Therefore, the solution to the equation (17x-11)^3 = 216 is x = 1.