a) x = 4

b) x = 5

c) x = 2

d) x = 2

e, x = 1

f, x = 0 hoặc  x = 1

a) x = 4                

b) x = 5     

c) x = 2                

d) x = 2

e) x = 1                

f) x = 0 hoặc  x = 1.

12.(x-3):3=64+8

12.(x-3):3=72

12.(x-3)   =72.3

12.(x-3)   =216

     x-3     =216:12

      x-3    =18

      x       =18+3

       x      =21

100-7.(x-5)=65

       7.(x-5)=100-65

       7.(x-5)=35

           x-5=35:7

           x-5=5

           x   =5+5

            x   =10

Vậy x = 10

a , 5^-1 . 25^x = 125

\(\frac{1}{5}.25^x=125\)

\(25^x=125.5=625\)

\(25^x=25^2\)

x = 2

b , 5x - | 9 - 7x | = 3

Với x < \(\frac{9}{7}\)

9 - 7x < 0

| 9 - 7x | = - ( 9 - 7x ) = 7x - 9

5x - ( 7x - 9 ) = 3

5x - 7x + 9 = 3

-2x = -6

x = -6 : (-2 )

x = 3

Với x >= \(\frac{7}{9}\)

9 - 7x >= 0

| 9 - 7x | = 9 - 7x

5x - 9 - 7x = 3

-2x - 9 = 3

-2x = 3 + 9

-2x = 12

x = 12 : ( -2 ) = -6

a) Ta có A = 2¹ + 2² + 2³ + ... + 2²⁰²²

2A = 2² + 2³ + 2⁴ + ... + 2²⁰²³

2A - A = ( 2² + 2³ + 2⁴ + ... + 2²⁰²³ ) - ( 2¹ + 2² + 2³ + ... + 2²⁰²² )

A = 2²⁰²³ - 2

Lại có B = 5 + 5² + 5³ + ... + 5²⁰²²

5B = 5² + 5³ + 5⁴ + ... + 5²⁰²³

5B - B = ( 5² + 5³ + 5⁴ + ... + 5²⁰²³ ) - ( 5 + 5² + 5³ + ... + 5²⁰²² )

4B = 5²⁰²³ - 5

B = \(\dfrac{5^{2023}-5}{4}\)

b) Ta có : A + 2 = 2^x

⇒ 2²⁰²³ - 2 + 2 = 2^x

⇒ 2²⁰²³ = 2^x

Vậy x = 2023

Lại có : 4B + 5 = 5^x

⇒ 4 . \(\dfrac{5^{2023}-5}{4}\) + 5 = 5^x

⇒ 5²⁰²³ - 5 + 5 = 5^x

⇒ 5²⁰²³ = 5^x

Vậy x = 2023

a: \(x-\frac13x+\frac15x=-\frac{26}{5}\)

=>\(x\left(1-\frac13+\frac15\right)=-\frac{26}{5}\)

=>\(x\left(\frac23+\frac15\right)=-\frac{26}{5}\)

=>\(x\cdot\left(\frac{10}{15}+\frac{3}{15}\right)=-\frac{26}{5}\)

=>\(x\cdot\frac{13}{15}=-\frac{26}{5}\)

=>\(x=-\frac{26}{5}:\frac{13}{15}=-\frac{26}{5}\cdot\frac{15}{13}=-2\cdot3=-6\)

b: \(\frac23\left(x+\frac95\right)-\frac{3}{10}\left(5x-\frac13\right)=\frac{7}{15}\)

=>\(\frac23x+\frac{18}{15}-\frac32x+\frac{1}{10}=\frac{7}{15}\)

=>\(\frac{-5}{6}x+\frac65+\frac{1}{10}=\frac{7}{15}\)

=>\(-\frac56x+\frac{13}{10}=\frac{7}{15}\)

=>\(-\frac56x=\frac{7}{15}-\frac{13}{10}=\frac{14}{30}-\frac{39}{30}=\frac{-25}{30}=-\frac56\)

=>x=1

Bài này dễ mà, you có thể tự làm được

a). 5^x = 125

=>5^x = 5³

=> x = 3

b) 3^2x = 81

=> 3^2x = 3⁴

=> 2x = 4

=> x = 2

c). 5^2x-3 – 2.5² = 5² .3

=>5^2x: 5³ = 5² .3 + 2.5²

=>5^2x: 5³ = 5² .5

=>5^2x = 5² .5.5³

=>5^2x = 5⁶

=> 2x = 6

=> x=3

a) 5x = 125

x = 125 : 5

x = 25

b) 32x = 81

x = 81 : 32

x = 81/ 32

c) 52x - 3 - 2.52 = 52.3

52x - 3 - 104 = 156

x - 3 - 104 = 156 : 52

x - 3 - 104 = 3

x - 3 = 3 + 104

x - 3 = 107

x = 107 + 3

x = 110

Ko chắc lắm , sai thì Sorry nhé .