Question

2 la puterea x-1 + 2 la x =12

Answer 1

2^(x-1) + 2^x = 12
2^(x-1) (1+2) = 12 - am dat factor comun pe 2^(x-1)
2^(x-1) *3 = 12
2^(x-1) = 12:3
2^(x-1) = 4
2^(x-1) = 2^2
x-1 = 2
x = 3

Answer 2

2^x-1 + 2^x = 12

2^x : 2^1 + 2^x = 12

2^x × ( 1/2 + 1) = 12

2^x × 3/2 = 12

2^x × 3 = 12 × 2

2^x × 3 = 24

2^x = 24 : 3

2^x = 2^3

x = 3