Question

2^x-1 + 2^x + 2^x+2 = 11/4 qual a resposta ?

Answer 1

2^x .2^-1 +2^x +2^x .2^2 =11/4 2^x(2^-1 + 1 + 2^2)= 11/4∴ 2^x (1/2 + 1 + 4) = 11/4 ∴ 2^x(1+2+8/2)=11/4 ∴ 2^x(11/2)=11/4 ∴ 2^x =11/4.2/11 2^x =2/4 ∴ 2^x = 1/2∴ 2^x = 2^-1∴ x= -1