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2 la puterea 2x + 4 la puterea x+1=80
Va rog ajutati-ma


Răspuns :

2²ˣ+4ˣ⁺¹=80
2²ˣ+2²ˣ⁺²=80
2²ˣ(1+2²)=80
2²ˣ ×5=80
2²ˣ =16
2²ˣ =2⁴
2x=4
x=2





2^2x+(2^2)^(x+1)=80
2^2x+2^(2x+2)=80

16+64=80
2^4+2^6=80

2x=4, x=2