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60 puncte:
4^n+4^n-1=80
sper ca ma va ajuta cineva


Răspuns :

4^n +4^n-1 = 80

2^2n + 2^(2n-2) = 80

2^2n × (1 + 2^-2) = 80

2^2n × (1 + 1/4) = 80

2^2n × 5/4 = 80

2^2n =80 : 5/4

2^2n = 80 × 4/5

2^2n = 16 × 4

2^2n = 2^6

2n = 6

n = 6 : 2

n = 3