Solve: `|x-3|^(3x^2-10 x+3)=1`

Explanation

`|x-3|^(3x^2-10x+3)=1`

taking log both side

`(3x^2-9x-x+3)log(|x-3|)`

`(3x(x-3)-1(x-3)log(|x-3|_=0`

`(3x-1)(x-3)(log|x-3|)=0`

`x=1/3,2,4`.