\(a,\Rightarrow2x-25=33\\ \Rightarrow2x=58\\ \Rightarrow x=29\\ b,\Rightarrow x+35=103\\ \Rightarrow x=68\\ c,\Rightarrow4^{x+1}=4^3\\ \Rightarrow x+1=3\\ \Rightarrow x=2\\ d,\Rightarrow x-235=865\\ \Rightarrow x=1100\)

Bài 1

S₂ = 21 + 23 + 25 + ... + 1001

Số số hạng của S₂:

(1001 - 21) : 2 + 1 = 491

⇒ S₂  = (1001 + 21) . 491 : 2 = 250901

--------

S₄  = 15 + 25 + 35 + ... + 115

Số số hạng của S₄:

(115 - 15) : 10 + 1 = 11

⇒ S₄ = (115 + 15) . 11 : 2 = 715

Bài 2

a) 2x - 138 = 2³.3²

2x - 138 = 8.9

2x - 138 = 72

2x = 72 + 138

2x = 210

x = 210 : 2

x = 105

b) 5.(x + 35) = 515

x + 35 = 515 : 5

x + 35 = 103

x = 103 - 35

x = 78

c) 814 - (x - 305) = 712

x - 305 = 814 - 712

x - 305 = 102

x = 102 + 305

x = 407

d) 20 - [7.(x - 3) + 4] = 2

7(x - 3) + 4 = 20 - 2

7(x - 3) + 4 = 18

7(x - 3) = 18 - 4

7(x - 3) = 14

x - 3 = 14 : 7

x - 3 = 2

x = 2 + 3

x = 5

e) 9ˣ⁻¹ = 9

x - 1 = 1

x = 1 + 1

x = 2

2:

a: \(2x-138=2^3\cdot3^2\)

=>\(2x-138=8\cdot9=72\)

=>2x=138+72=210

=>x=105

b: \(5\cdot\left(x+35\right)=515\)

=>x+35=103

=>x=103-35=68

c: \(814-\left(x-305\right)=712\)

=>x-305=814-712=102

=>x=102+305=407

d: \(20-\left[7\left(x-3\right)+4\right]=2\)

=>7(x-3)+4=18

=>7(x-3)=14

=>x-3=2

=>x=5

e: \(9^{x-1}=9\)

=>x-1=1

=>x=2

f: \(5^{x-2}-3^2=2^4-\left(2^8\cdot2^2-2^{10}\cdot2^2\right)\)

=>\(5^{x-2}-9=16-1024+4096\)

=>\(5^{x-2}=3097\)

=>\(x-2=log_53097\)

=>\(x=2+log_53097\)

14 chia hêt cho 2x+3

=>2x+3 thuộc Ư (14)

=>Ư (14)={1;2;7;14}

ta có

vậy x=0

219-7(x+1)=100

      7(x+1)=219-100

      7(x+1)=119

         x+1 =119:7

         x+1 =17

         x     =17-1

         x     =16

1) [2.(70-x)+2³.3²]:2=46

     2.(70-x)+8.9=92

     2.(70-x)+72=92

     2.(70-x)=20

         70-x=10

              x=60

2) 6x-39=5628:28

    6x-39=201

    6x=240

      x=40

3)2x-138=2³.3²

  2x-138=8.9

  2x-138=72

  2x=210

    x=105

4)219-7(x+1)=100

          7(x+1)=119

             x+1=17

             x=16

5)14 chia het cho (2x+3)

=> (2x+3) thuoc U₍₁₄₎={1;-1;2;-2;7;-7;14;-14}

TH1: 2x+3=1

         2x=-2

           x=-1

TH2: 2x+3=-1

         2x=-4

           x=-2

TH3: 2x+3=2

          2x=-1

            x= -1/2

TH4: 2x+3=-2

         2x=-5

           x=-5/2

TH5: 2x+3=7

        2x=4

          x=2

TH6: 2x+3=-7

         2x=-10

           x= -5

TH7: 2x+3=14

         2x=11

           x=11/2

TH8: 2x+3=-14

         2x=-17

           x=-17/2

Vay x thuoc {-1; -2; -1/2; -5/2; 2; -5; 11/2; -17/2}

6)2.(x-8)=2²

       x-8=2

       x=10

a) 219-7x-7=100

212-7x=100

7x=112

x=16

các câu còn lại cứ thế mà làm

6) \(2\left(x-8\right)=2^2\)

\(\Rightarrow x-8=2^2:2\)

\(\Rightarrow x-8=2\)

\(\Rightarrow x=2+8\)

\(\Rightarrow x=10\)

tíc mình nha

5) 14 chia hết cho 2x+3

=>2x+3 thuộc ước 14

mà Ư(14)={1,2,7,14}

ta có

vậy x=0

219-7(x+1)=100

      7(x+1)=219-100

      7(x+1)=119

         x+1 =119:7

         x+1=17

         x    =17-1

         x    =16

9: =3/2*5/12+3/16

=15/24+3/16

=5/8+3/16

=13/16

a, 219 - 7.(x + 1) = 100

              7.(x + 1) = 219 - 100

              7.(x + 1) = 119

                  x + 1  = 119  : 7

                  x + 1  = 17

                  x        = 17 - 1

                  x        = 16

a,  219-7(x+1)=100

7(x+1)=219-100

7(x+1)=119

x+1=119/7

x+1=17

x=17-1

x=16

Vậy x=16

b, 20+2³(x+3)=5².4

20+8(x+3)=100

8(x+3)=100-20

8(x+3)=80

x+3=80/8

x+3=10

x=10-3

x=7

Vậy x=7

a) 219 - 7(x + 1) = 100

=> 7(x + 1) = 119 

=> x + 1 = 17

=> x = 16

Giúp

\(\dfrac{3}{7}\times x=\dfrac{1}{3}\)

\(x=\dfrac{1}{3}:\dfrac{3}{7}\)

\(x=\dfrac{7}{9}\)

\(x:\dfrac{6}{8}=\dfrac{2}{5}\)

\(x=\dfrac{2}{5}\times\dfrac{6}{8}\)

\(x=\dfrac{6}{20}=\dfrac{3}{10}\)

\(x-\dfrac{2}{3}=\dfrac{5}{6}\)

\(x=\dfrac{5}{6}+\dfrac{2}{3}\)

\(x=\dfrac{9}{6}=\dfrac{3}{2}\)

\(x-\dfrac{2}{5}-\dfrac{4}{35}=\dfrac{1}{7}\)

\(x=\dfrac{1}{7}+\dfrac{4}{35}+\dfrac{2}{5}\)

\(x=\dfrac{23}{35}\)

.

\(\dfrac{3}{7}\times x=\dfrac{1}{3}\)

\(\Leftrightarrow x=\dfrac{1}{3}:\dfrac{3}{7}\)

\(\Leftrightarrow x=\dfrac{7}{9}\)

\(x:\dfrac{6}{8}=\dfrac{2}{5}\)

\(\Leftrightarrow x=\dfrac{2}{5}\times\dfrac{6}{8}\)

\(\Leftrightarrow x=\dfrac{3}{10}\)

\(x-\dfrac{2}{3}=\dfrac{5}{6}\)

\(\Leftrightarrow x=\dfrac{5}{6}+\dfrac{2}{3}\)

\(\Leftrightarrow x=\dfrac{3}{2}\)

\(x-\dfrac{2}{5}-\dfrac{4}{35}=\dfrac{1}{7}\)

\(\Leftrightarrow x=\dfrac{1}{7}+\dfrac{2}{5}+\dfrac{4}{35}\)

\(\Leftrightarrow x=\dfrac{23}{35}\)