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What is the concentration (in M) of hydroxide ions in a solution at 25°C with pH = 4.282?

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I would do it this way.
pH + pOH = pKw = 14
Solve for pOH.
Then pOH = -log(OH^-) and solve for OH^-

You could convert pH to H^+, then
(H^+)(OH^-) = 1 x 10^-14
and solve for OH^-

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