Ammonium hydroxide is a weak base, so its pH value is greater than 7 but less than 14. The exact pH will depend on the concentration of the solution.

Here's why:

* Weak base: Ammonium hydroxide (NH₄OH) doesn't completely ionize in water, meaning it doesn't release all of its hydroxide ions (OH⁻). This is unlike strong bases like sodium hydroxide (NaOH), which ionize fully.

* Equilibrium: The ionization of ammonium hydroxide is an equilibrium reaction:

NH₄OH(aq) ⇌ NH₄⁺(aq) + OH⁻(aq)

* Concentration: The concentration of hydroxide ions (OH⁻) in solution determines the pH. A higher concentration of hydroxide ions results in a higher pH (more basic).

To determine the exact pH, you'd need to know the concentration of the ammonium hydroxide solution and use the equilibrium constant (Kb) for its ionization.

Let me know if you have the concentration and want to calculate the pH.