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Verified answer
30 log 150 = 5 log 150 / 5 log 305 log 25 + 5 log 6 / 5 log 5 + 5 log 6
2 + 5 log 2 + 5 log 3 / 1 + 5 log 2 + 5 log 3
2 + 1/p + 1/q / 1 + 1/p + 1/q
2+ p+q / pq / 1 + p+q / pq
2+p+q / 1+p+q