The solubility product constant (Ksp) of Al(OH)3 can be equated as follows.
Al(OH)3(s) <----> Al3+(aq) + 3OH-(aq); Ksp = 3*10-34
The formation constant (Kf) of Al(OH)4- can be equated as follows.
Al3+(aq) + 4OH-(aq) <----> Al(OH)4-(aq); Kf = 2*1033
If you add the above two equations, the corresponding equilibrium constants can be written as the product, as shown below.
Al(OH)3(s) + OH-(aq) <----> Al(OH)4-(aq); K = Ksp * Kf = (3*10-34) * (2*1033) = 0.6
The relation between pH and pOH can be written as follows.
pH + pOH = 14
i.e. pOH = 14 - pH
Now, pOH can be written as follows.
pOH = -Log[OH-]
i.e. [OH-] = 10-pOH