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Aflați x:(3 x) totul la puterea a 5 =9 la puterea a 5•3la puterea a 2• 3 la a3


Răspuns :

(3x)⁵ = 9⁵ ·3² · 3³
3⁵ · x⁵ = 9⁵ ·3² · 3³
x⁵ = (9⁵ ·3² · 3³)/ 3⁵
x⁵ = ((3²)⁵ ·3² · 3³)/ 3⁵
x⁵ = (3¹⁰ ·3² · 3³)/ 3⁵
x⁵ = (3¹⁰⁺²⁺³)/ 3⁵
x⁵ = (3¹⁵)/ 3⁵
x⁵ = 3¹⁵⁻⁵
x⁵ = 3¹⁰
x⁵ = (3²)⁵
x = 3²
x= 9