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Sagot :

JPMORIN3

bjr

   2²⁰²²          2²⁰²²

-------------  =  ----------- =  2²⁰²²⁻² = 2²⁰²⁰

     4                 2²

16^n+16^n+16^n+16^n = 2^2022

(2⁴)ⁿ + (2⁴)ⁿ + (2⁴)ⁿ + (2⁴)ⁿ = 2²⁰²²

2⁴ⁿ + 2⁴ⁿ +2⁴ⁿ +2⁴ⁿ = 2²⁰²²

4 x 2⁴ⁿ = 2²⁰²²

2² x 2⁴ⁿ = 2²⁰²²

2⁴ⁿ⁺² = 2²⁰²²

4n + 2 = 2022

d'où n

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