=>6x=30

hay x=5

7x - x = 30
7.x - 1.x = 30
x . (7-1) = 30
x . 6 = 30

x      = 30 : 6
x      = 5

DỄ ƠI LÀ DỄ

\(7x-x=5^{21}:5^{19}+3.2^2-7^0\)

\(6x=5^2+3.2-1\)

\(6x=25+12-1\)

\(6x=36\)

\(x=6\)

K bt đk:))
Ta có :
7x - x = 5²¹ : 5¹⁹ . 3 . 2² - 70

=> 6x = 5²¹: 5¹⁹ + 3 . 2² - 70

=> 6x = 5² + 3. 4 - 1

=> 6x = 25 + 3 . 2 - 1

=> 6x = 25 + 6 - 1

=> 6x = 30

=> x = 30 : 6

=> x = 5

7x−x=521:519+3.22−70

6x=52+3.2−16x=52+3.2−1

6x=25+12−16x=25+12−1

6x=366x=36

x=6

a) \(5x+x=39-3^{11}:3^9\)    

\(\Leftrightarrow6x=39-3^2\)                    

\(\Leftrightarrow6x=30\)

\(\Leftrightarrow x=5\)

b) \(2^x:2^5=16\)

\(\Leftrightarrow2^x:2^5=2^4\)

\(\Leftrightarrow2^x=2^4.2^5\)

\(\Leftrightarrow2^x=2^9\)

\(\Leftrightarrow x=9\)

c) \(7x-x=5^{21}:5^{19}+3.2^2-7^0\)

\(\Leftrightarrow6x=5^2+3.4-1\)

\(\Leftrightarrow6x=36\)

\(\Leftrightarrow x=6\)

d) \(7x-2x=6^{17}:6^{15}+44:11\)

\(\Leftrightarrow5x=6^2+4\)

\(\Leftrightarrow5x=40\)

\(\Leftrightarrow x=8\)

a)⇔6x=39-3²                                             

   ⇔6x=30                                             

   ⇔ x=5                                                

b)2^x:2⁵=16

⇔2^x=2⁴.2⁵ 

⇔ 2^x=2⁹                                                   

⇔ x=9

c)⇔6x=5²+3.2²-1

  ⇔ 6x= 36

  ⇔ x=6

d)⇔5x=6²+4

   ⇔ 5x=40

   ⇔ x=8

a: \(\Leftrightarrow6x=30\)

hay x=5

b: \(\Leftrightarrow6x=25+12-1=36\)

hay x=6

A x=5

B x = 6 (36)

a: \(\Leftrightarrow8x=108+12=120\)

hay x=15

b: \(\Leftrightarrow6x=60\)

hay x=10

a) 5x + 3x = 120
    x . (5+3)= 120
    x . 8       = 120
    x            = 120 : 8
    x            = 15

c) 7x - 2x = 40
    x .(7-2)= 40
    x . 5     = 40

    x          = 40 : 5
    x          = 8

`#3107.101107`

a)

\(5\left(x-1\right)^3=40\\\Rightarrow\left(x-1\right)^3=40\div5\\ \Rightarrow\left(x-1\right)^3=8\\ \Rightarrow\left(x-1\right)^3=2^3\\ \Rightarrow x-1=2\\ \Rightarrow x=2+1\\ \Rightarrow x=3\)

Vậy, `x = 3`

b)

\(3^{2x+1}+9^x=324?\\ \Rightarrow3^{2x}\cdot3+3^{2x}=324\\ \Rightarrow3^{2x}\cdot\left(3+1\right)=324\\ \Rightarrow3^{2x}\cdot4=324\\ \Rightarrow3^{2x}=81\\ \Rightarrow3^{2x}=3^4\\ \Rightarrow2x=4\\ \Rightarrow x=2\)

Vậy, `x = 2`

c)

\(5^x-13=3\cdot2^2\\ \Rightarrow5^x-13=12\\ \Rightarrow5^x=12+13\\ \Rightarrow5^x=25\\ \Rightarrow5^x=5^2\\ \Rightarrow x=2\)

Vậy, `x = 2`

d)

\(8^x+2^{3x+1}=192\\ \Rightarrow2^{3x}+2^{3x}\cdot2=192\\ \Rightarrow2^{3x}\left(1+2\right)=192\\ \Rightarrow2^{3x}\cdot3=192\\ \Rightarrow2^{3x}=64\\ \Rightarrow2^{3x}=2^6\\ \Rightarrow3x=6\\ \Rightarrow x=2\)

Vậy, `x = 2.`

a) 89-(73-x) = 20

=> 73+x =89-20

=> 73+x=69

=> x=69-73

=> x=-4

b) (x+7)-25=13

=> x+7=13+25

=> x+7=38

=> x=38-7

=> x=31

c) 98-(x+4)=20

=> x+4=98-20

=> x+4=78

=> x=78-4

=> x=73

d) 140:(x-8)=7

=> x-8=140:7

=> x-8=20

=> x=20+8

=> x=28

e) 4(x+41)=400

=> x+41=400:4

=> x+41=100

=> x=100-41

=> x=59

f) x-[42+(-28)]=-8

=> x-14=-8

=> x=-8+14

=> x=6

g) x+5=20-(12-7)

=> x+5=20-5

=> x+5=15

=> x=15-5

=> x=10

h) \(x-11=2.2^3+20:5\)

=> x-11=2.8+4

=> x-11=16+4

=> x-11=20

=> x=20+11

=> x=31

i) \(4\left(x-3\right)=7^2-1^3\)

=> 4(x-3)=49-1

=> 4(x-3)=48

=> x-3=48:4

=> x-3=12

=> x=12+3

=> x=15

\(bn\)\(xem\)\(lai\)\(giup\)\(mk\)\(cho\)\(\frac{x+522}{7}\)\(neu\)\(thay\)\(bang\)\(\frac{x+552}{7}\)\(thi\)\(dug\)\(hon\)

thế thì bạn giải thử xem cô t ra đề thế mà ừ thì cứ cho là x + 552 cx đc

\(A=x^4-98x^3+x^3-98x^2+x^2-98x+x+2\)

\(=x^3\left(x-98\right)+x^2\left(x-98\right)+x\left(x-98\right)+x+2\)

\(=0+0+0+98+2\left(x=98\right)\)

=100

x = 98 => 97 = x - 1

Ta có : 

\(A=x^4-\left(x-1\right)x^3-\left(x-1\right)x^2-\left(x-1\right)x+2\)

\(A=x^4-x^4+x^3-x^3+x^2-x^2+x+2\)

\(A=0+0+0+x+2\)

\(A=x+2\)

Thay x = 98 vào A ta có :

\(A=98+2=100\)

a)

\(512-\left(128-5x\right)=3x+12\\ 512-128+5x=3x+12\\ 384+5x=3x+12\\ 5x-3x=12-384\\ 2x=-372\\ x=\left(-372\right):2\\ x=-186\)

b)

\(\left(2x-1\right)+\left(4x-2\right)+...+\left(400x-200\right)=5+10+...+1000\\ \left(2x+4x+...+400x\right)-\left(1+2+...+200\right)=5+10+...+1000\\ x\left(2+4+...+400\right)=\left(5+10+...+1000\right)+\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=5\cdot\left(1+2+...+200\right)+1\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=\left(5+1\right)\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=6\cdot\left(1+2+...+200\right)\\ \Rightarrow2x=6\\ x=6:2\\ x=3\)

c)

\(\left(x+2\right)+\left(4x+4\right)+\left(7x+6\right)+...+\left(25x+18\right)+\left(28x+20\right)=1560\\ \left(x+4x+7x+...+25x+28x\right)+\left(2+4+6+...+18+20\right)=1560\\ x\left(1+4+7+...+25+28\right)+110=1560\\ 145x+110=1560\\ 145x=1560-110\\ 145x=1450\\ x=1450:145\\ x=10\)

d)

\(x+4x+5x+9x+14x+...+97x=500\\ x\left(1+4+5+9+14+...+97\right)=500\)

Dãy số trong ngoặc có quy luật: Số thứ \(n\) bằng số thứ \(n-1\) cộng số thứ \(n-2\)

Suy ra dãy số đó là: \(1+4+5+9+14+23+37+60+97=250\)

Thế vào ta được:

\(250x=500\\ x=500:250\\ x=2\)

e)

\(720-\left[41-\left(2x-5\right)\right]=2^3\cdot5\\ 720-41+\left(2x-5\right)=8\cdot5\\ 720-41+2x-5=40\\ \left(720-41-5\right)+2x=40\\ 674+2x=40\\ 2x=40-674\\ 2x=-634\\ x=\left(-634\right):2\\ x=-317\)

f)

\(697:\dfrac{15x+364}{x}=17\\ \dfrac{15x+364}{x}=697:17\\ \dfrac{15x+364}{x}=41\\ \dfrac{15x+364}{x}\cdot x=41x\\ 15x+364=41x\\ 364=41x-15x\\ 364=26x\\ x=364:26\\ x=14\)