organic chemistry

Because alcohol protons are reasonably acidic and easily undergo exchange, it is important that the base be matched to the appropriate solvent. Explain why it would be virtually impossible to sort out the factors the size of the base or the stability of the alkenes formed if a reaction were carried out using methanol as the solvent and potassium t-butoxide as the base. In your answer draw a mechanism using methanol and tert-butoxide to illustrate your answer.

I don't understand how to do the mechanism at all.
but wouldn't the reasoning have to do with methanol being able to produce methoxide

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