\(\text{a) -3000 : 2 + 5(2x-1) = 125}\\ -1500+5\left(2x-1\right)=125\\ 5\left(2x-1\right)=125-\left(-1500\right)\\ 5\left(2x-1\right)=1625\\ 2x-1=1625:5\\ 2x-1=325\\ 2x=325+1\\ 2x=326\\ x=326:2\\ x=163\)

\(\text{b) 6x -12 = -18}\\ 6x=-16+12\\ 6x=-6\\ x=-1\)

a) Ta có: \(4^{2x-6}=1\)

     \(\Rightarrow2x-6=1\)

     \(\Rightarrow2x=6+1=7\)

     \(\Rightarrow x=\frac{7}{2}\)

b) Ta có:\(2^{x-1}=16=2^4\)

     \(\Rightarrow x-1=4\)

     \(\Rightarrow x=5\)

c) Ta có: \(5^{x+1}=125=5^3\)

     \(\Rightarrow x+1=3\)

     \(\Rightarrow x=2\)

d) Ta có: \(5^{2x-3}-2.5^2=5^2.3\)

     \(\Rightarrow5^{2x-3}=5^2.3+2.5^2\)

     \(\Rightarrow5^{2x-3}=5^2.\left(3+2\right)=5^2.5=5^3\)

     \(\Rightarrow2x-3=3\)

     \(\Rightarrow2x=6\)

     \(\Rightarrow x=3\)

4^2x-6 = 1

=> 4^2x-6 = 4⁰

=> 2x - 6 = 0

=> 2x = 6

=> x = 3

5^x+1 = 125

=> 5^x+1 = 5³

=> x + 1 = 3

=> x = 2

5^2x-3 - 2.5² = 5².3

=> 5^2x-3 = 5².3 + 2.5²

=> 5^2x-3 = 5²( 3 + 2 )

=> 5^2x-3 = 5².5

=> 5^2x-3 = 5³

=> 2x - 3 = 3

=> 2x = 6

=> x = 3 

280 - ( x - 140 ) : 35 = 270

<=>    ( x - 140 ) : 35 = 280 -270

<=>    ( x -140 ) : 35 = 10

<=>      x -140          = 10 . 35

<=>      x  -140         = 350

<=>      x                 = 350 + 140

<=>     x                  = 490 

1) 280 - ( x - 140 ) : 35 = 270

=> ( x - 140 ) : 35 = 280 - 270 = 10

     x - 140 = 350

=> x = 350 + 140

=> x = 390

2) ( 190 - 2x ) : 35 - 32 = 16

     190 - 2x = ( 16 + 32 ) . 35 = 1680

    x = ( 190 - 1680 ) : 2

   x = -745

3) 720 : { 41 - ( 2x - 5 )} -2.5

Sai đề.

4) ( x : 23 + 45 ) . 37 - 22 = 24 .105

    x : 23 + 45 = ( 24.105 + 22 ) : 37

    x : 23 = 2542/37 - 45 = 877/37

    x = 877/37.23 = 20171/37

5) ( 3x - 4 ) ( x - 1 ) = 0

=> 3x - 4 = 0 hoặc x - 1 = 0

3x - 4 = 0      hoặc x - 1 = 0

=> x = 4/3        => x = 1

Vậy x \(\in\) { 4/3;1 }

6) 2^2x : 4 = 8³

=> 2^2x = 8³ . 4 = 2048 = 2¹¹

=> 2x = 11

=> x = 11/2 

   2³.19 - 2³.14 + 1²⁰²⁰

= 2³.(19 - 14) + 1

= 8.5 + 1

= 41

    10² - [60: (5⁶: 5⁴ - 3.5)]

= 100 - [60: (5² - 15)]

= 100 - [60: (25 - 15)]

= 100 - [60 : 10]

= 100 - 6

= 94 

mk chi lam duoc cau c thoi

suy ra 2x-1=5 hoac 2x-1=-5

          2x=6            2x=-4

          x=3                 x=-2

vay x=3 hoac x=-2

a. 3/4.x+1/3=-1/2

=>3/4.x=-1/2-1/3=-5/6

=>x=-5/6 chia 3/4=-10/9

b. -x/4=-9/x =>-x*x=4*-9

=>-2x=-36 =>x=18

c./2x-1/=5

=> 2x-1=5 =>2x=5+1=6 =>x=3

  hoặc 2x-1=-5 =>2x=-5+1=-4 =>x=-2

d,e: Sai đề rồi

3^2x = 81

=> 3^2x = 3^4

=> 2x = 4

=> x = 2

5^x-3 - 2. 5^2 = 5^2. 3

=> 5^x-3 - 2 = 3

=> 5^x-3 = 5

=> x - 3 = 1

=> x = 4

13/ => 10 + 2x = 4² = 16

      => 2x = 6

      => x = 3

14/ => 5^2x : 5³ - 50 = 75

      => 5^2x : 5³ = 125 = 5³

      => 5^2x = 5⁶

      => 2x = 6

      => x = 3

15/ => (26 - 3x) : 5 = 4

      => 26 - 3x = 20

      => 3x = 6

      => x = 2

16/ => x - 17 = -25

      => x = -8

13) 10+2x=4⁵ : 4³

10+2x=16

     2x=16-10

     2x=6

       x=6:2 => x=3

 15) 71+ (26-3x):5=75

       71+ 23x : 5=75

       71+23x      =75.5

        71+23x      =375 => 23x=375-71 => 23x= 304

             x=304:23 => x= 304/23

tính thì t k bt như nào nhưng cách làm đúng nhá:)) 

tick cho t nhé:)) cảm ơn:))