If a solution at a pH 5 undergoes a 1000-fold increase in [OH-] what is the resulting pH?

Answer 1

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Every change in pH by 1 changes the ratio of H+ to OH- by a factor of 10. OH- would make the pH go up. 1000 fold increase is a change by 10^3, so the pH would increase by 3, and 5 + 3 = 8. The resulting pH would be 8.

Answer 2

1000 is 10^3
so it would increase 3 pH values, becoming 8