Đáp án`+`Giải thích các bước giải:

 `a, 5^(x + 2) = 625`

`=> 5^(x + 2) = 5^4`

`=> x + 2= 4`

`=> x=  2`

Vậy `x=  2`

`b, (x - 3)^3=  64`

`=> (x - 3)^3 = 4^3`

`=> x - 3=  4`

`=> x= 7`

`c, (1/3)^(2x - 1) = 3^5`

`=> (1/3)^(2x - 1) = (1/3)^(-5)`

`=> 2x - 1= - 5`

`=> 2x=  -4`

`=> x=  -2`

Vậy `x=  -2`

`d, 3.(x - 1)^4 = 12.8^2`

`=> (x - 1)^4 = 4. 8^2`

`=> (x - 1)^4 = 256`

`=> (x - 1)^4 = (+-4)^4`

`=>` $\left[\begin{matrix} x - 1= 4 \\ x-1 =-4\end{matrix}\right.$

`=>` $\left[\begin{matrix} x = 5\\ x=-3\end{matrix}\right.$

Vậy `x \in {5;-3}`

`e, 2^(x + 3) . 2^x=  128`

`=> 2^(x + 3 + x) = 2^7`

`=> 2x + 3=7`

`=> 2x=  4`

`=> x = 2`

Vậy `x =2`

`***`sharksosad