At 298 K, the solubility of silver chloride in water is $1.434 \times 10^{-3} \mathrm{~g} \mathrm{~L}^{-1}$. The value of $-\log K_{s p}$ for silver chloride is _____. (Given mass of Ag is $107.9 \mathrm{~g} \mathrm{~mol}^{-1}$ and mass of Cl is $35.5 \mathrm{~g} \mathrm{~mol}^{-1}$)
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