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Determinati ab daca 32^ab=64^ba




Răspuns :

(2⁵)ᵃᵇ = (2⁶)ᵇᵃ
2 ⁵*ᵃᵇ = 2⁶*ᵇᵃ
5 x ab = 6 x ba
5 ( 10 a +b) = 6 ( 10 b +a)
50 a +5 b = 60 b + 6 a
50 a - 6 a  = 60 b - 5 b
44  a = 55 b /:11
4 a = 5 b
a=5 si b=4
ab= 54