Đáp án + Giải thích các bước giải:
`5(x - 1/2) - 3(x - 1/4)=1` $\\$ `=>5x-5/2-3x+3/4=1` $\\$ `=> (5x - 3x) + (-5/2+3/4)=1` $\\$ `=> 2x - 7/4 = 1` $\\$ `=> 2x = 1 + 7/4 = 11/4` $\\$ `=> x = 11/4 : 2 = 11/8`
Vậy `x = 11/8`
Sửa đề : `(1/3)^x + (1/3)^(x+2)=10/9` $\\$ `=>(1/3)^x+(1/3)^x*(1/3)^2=10/9` $\\$ `=> (1/3)^x[1+(1/3)^2]=10/9` $\\$ `=> (1/3)^x(1 + 1/9) = 10/9` $\\$ `=> (1/3)^x*10/9 = 10/9` $\\$ `=> (1/3)^x = 1` $\\$ `=> x = 0`
Vậy `x = 0`