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`a) (7x-11)^3 = 2^5 . 5^2 + 200`

`⇒ (7x-11)^3 = 32.25+200`

`⇒ (7x-11)^3 = 1000`

`⇒ (7x-11)^3 = 10^3`

`⇒ 7x-11=10`

`⇒ 7x     =21`

`⇒   x     =3`

`Vậy` `x=3`.

`b) (x-2022)^2 =4`

`TH1: (x-2022)^2 = 2^2`

`⇒ x-2022=2`

`⇒ x         =2024`

`TH2: (x-2022)^2 = (-2)^2`

`⇒ x-2022=-2`

`⇒ x         =-2+2022`

`⇒ x         = 2020`

`Vậy`, `x ∈{2024;2020}`.

`c) (2x-1)^4 =16`

`TH1: (2x-1)^4 = (-2)^4`

`⇒ 2x-1=-2`

`⇒ 2x   =-2+1`

`⇒ 2x   =-1`

`⇒   x   = (-1)/2`

`TH2: (2x-1)^4 =2^4`

`⇒ 2x-1=2`

`⇒ 2x   =3`

`⇒   x   =3/2`

`Vậy`, `x∈{ (-1)/2; 3/2 }`.

`d) (2x+1)^4 = (2x+1)^6`

`⇒ (2x+1)^4 - (2x+1)^6 =0`

`⇒ (2x+1)^4 - (2x+1)^4 . (2x+1)^2 =0`

`⇒ (2x+1)^4 . [1 - 1 . (2x+1)^2 ] =0`

`TH1: (2x+1)^4 =0`

`⇒ 2x+1 =0`

`⇒ 2x      =-1`

`⇒   x      = (-1)/2`

`TH2: 1- (2x+1)^2 =0`

`⇒ (2x+1)^2 =1`

`⇒ 2x+1 =1`

`⇒ 2x     =0`

`⇒   x     =0`

`Vậy`, `x∈{ (-1)/2; 0}`.

`e) (2x-3)^3 -16=11`

`⇒ (2x-3)^3 =27`

`⇒ (2x-3)^3 = 3^3`

`⇒ 2x-3=3`

`⇒ 2x   =6`

`⇒   x   =3`

`Vậy`, `x=3`.

`g) (2x+1)^3 =125`

`⇒ (2x+1)^3 =5^3`

`⇒ 2x+1=5`

`⇒ 2x    =4`

`⇒   x    =2`

`Vậy`, `x=2`.

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