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3'log 4 = q
7'log 4 = pq
12'log 63
= 3'log 63 / 3'log 12
= (3'log 3^2 + 3'log 7) / (3'log 4 + 3'log 3)
= (2 + (1/p)) / (1 + q)
= (1 + 2p) / (p + pq)