To solve this equation, we can start by using the logarithmic property that says log(a^b) = b * log(a).

Given: log11(3-x) = 2 * log11(√3)

Using the property mentioned above, we can rewrite this equation as:

log11(3-x) = log11(√3)^2

Now we can simplify the right side:

log11(3-x) = log11(3)

Since the logarithm is the same on both sides, we can remove the log term:

3 - x = 3

Now, solve for x:

-x = 0

x = 0

Therefore, the solution to the equation log11(3-x) = 2 * log11(√3) is x = 0.