Equilibrium: JEE Main 2025 Chemistry question

$x$ mg of $\mathrm{Mg(OH)_2}$ (molar mass = 58) is required to be dissolved in 1.0 L of water to produce a pH of 10.0 at 298 K. The value of $x$ is ______ mg. (Nearest integer) (Given : $\mathrm{Mg(OH)_2}$ is assumed to dissociate completely in $\mathrm{H_2O}$)