`#khanhly2949`

`a,`

`(x-1)^2=1`

`th_1 : (x-1)^2=1^2`

`=>x-1=1`

`=>x=2`

`th_2 : (x-1)^2=(-1)^2`

`=>x-1=-1`

`=>x=0`

Vậy `x\in{2;0}`

`b,`

`7^(2x-6)=49`

`=>7^(2x-6)=7^2`

`=>2x-6=2`

`=>2x=8`

`=>x=4`

Vậy `x=4`

`c,`

`(2x-16)^7=128`

`=>(2x-16)^7=2^7`

`=>2x-16=2`

`=>2x=18`

`=>x=9`

Vậy `x=9`

`d,`

`565-13 . x=370`

`=>13 . x=565-370`

`=> 13. x =195`

`=>x=195 : 13`

`=>x=15`

Vậy `x=15`

`e,`

`105-(135-7x) : 9=97`

`=>(135-7x):9=105-97`

`=>(135-7x):9=8`

`=>135-7x=72`

`=>7x=63`

`=>x=9`

Vậy `x=9`

`f,`

`275-(113+x)+63=158`

`=>275-113-x+63=158`

`=>-x=-275+113-63+158`

`=>-x=-67`

`=>x=67`

Vậy `x=67`

`g,`

`[3(x+2) : 7] . 4=120`

`=>3(x+2) : 7=30`

`=>3(x+2)=210`

`=>x+2=70`

`=>x=68`

Vậy `x=68`

`h,`

`x(x-1)=0`

`th_1 : x=0`

`th_2 : x-1=0`

`=>x=1`

Vậy `x\in{0;1}`

`i,`

`(x+2)(x-4)=0`

`th_1 : x+2=0`

`=>x=-2`

`th_2 : x-4=0`

`=>x=4`

Vậy `x\in{-2;4}`

`k,`

`(x-140) : 7=3^3-2^3 . 3`

`=>(x-140) : 7=27-8 . 3`

`=>(x-140) : 7=3`

`=>x-140=21`

`=>x=161`

Vậy `x=161`

`l,`

`x^3 . x^2=2^8 : 2^3`

`=>x^5 =2^5`

`=>x=2`

Vậy `x=2`

`m,`

`3^x -3^2=2 . 3^2`

`=>3^x-9=2 . 9`

`=>3^x-9=18`

`=>3^x=27`

`=>3^x=3^3`

`=>x=3`

vậy `x=3`