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If you are given ΔG°, you can calculate K by first isolating it. Once you have lnK = ΔG°/-RT you then get rid of the natural log in front of the K by using e. You end up with e^(lnK) = e^(ΔG°/-RT) and the e^ln cancels out, so K = e^(ΔG°/-RT).
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