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Cara:
²log 30 / ²log 0,3 = (²log 2 x 3 x 5) / (²log 3 - (²log 2 + ²log 5))
= (1 + b + 1/a) / (b - (1 + 1/a))
= (a + ab + 1)/(ab - a - 1)