Question

2^x+2^x-1+2^x-2=7 raiz de 2

Answer 1

Boa tarde

2^x + 2^(x-1) + 2^(x-2) = 7√2

2^x + 2^x/2 + 2^x/4 = 7√2

2^x*(1 + 1/2 + 1/4) = 7√2

2^x * (7/4) = 7√2

2^x = 4√2 

√2^(2x) = √2^5

2x = 5
x = 5/2