\(\left(7x-11\right)^3=2^5\cdot5^2+200\cdot2023^0\\ \left(7x-11\right)^3=32\cdot25+200\cdot1\\ \left(7x-11\right)^3=1000\\ \left(7x-11\right)^3=10^3\\ 7x-11=10\\ 7x=21\\ x=\dfrac{21}{7}=3\)

Lời giải:

$(7x-11)^3=2^5.5^2+200.2023^0=32.25+200=1000=10^3$

$\Rightarrow 7x-11=10$

$\Rightarrow 7x=21$

$\Rightarrow x=3$

(7x - 11)³ = 2⁵.5² + 200

<=> (7x - 11)³  = 32.25 + 200

<=> (7x - 11)³ = 800 + 200

<=> (7x - 11)³ = 1000

<=> (7x - 11)³ = 10³

<=> 7x - 11 = 10

<=> 7x = 21

<=> x = 3 

X=0 

Vì 2 mũ 5 = 32

2 mũ 2 = 4

Suy ra 2 mũ 5 + 2 mũ 2 +200 = 32+4+200=236

* ước của 236 = (1;2;4;59;118;236)

* Mà chỉ có 59+11=70 có chữ số đầu tiên là 7 

ĐÚNG THÌ TICK CHO MÌNH NHA

\(\left(7x-11\right)^3=2^5.5^2+2.10^2\)

\(\Rightarrow\left(7x-11\right)^3=32.25+2.100\)

\(\Rightarrow\left(7x-11\right)^3=800+200\)

\(\Rightarrow\left(7x-11\right)^3=1000\)

\(\Rightarrow\left(7x-11\right)^3=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

(7\(x\) - 11)³ = 2⁵.5² + 2.10²

(7\(x\) - 11)³ = 1000

(7\(x\) - 11)³ = 10³

7\(x\) - 11 = 10

7\(x\)        = 10 + 11

7\(x\)        = 21

   \(x\)       = 21:7

   \(x\)        = 3

\(\left(7x-11\right)^3=2^5.5^2+2.10^2\)

\(\left(7x-11\right)^3=2^5.5^2+2.\left(2.5\right)^2\)

\(\left(7x-11\right)^3=2^5.5^2+2.2^2.5^2\)

\(\left(7x-11\right)^3=2^5.5^2+2^3.5^2\)

\(\left(7x-11\right)^3=5^2\left(2^5+2^3\right)\)

\(\left(7x-11\right)^3=5^2\left(32+8\right)\)

\(\left(7x-11\right)^3=5^2.40\)

\(\left(7x-11\right)^3=25.40\)

\(\left(7x-11\right)^3=1000\)

\(\left(7x-11\right)^3=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=10+11\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=21:7\)

\(\Rightarrow x=3\)

1: \(6x^2-8=40\)

\(\Leftrightarrow x^2=8\)

hay \(x\in\left\{2\sqrt{2};-2\sqrt{2}\right\}\)

1)

a) 2x + 5 = 3⁴ : 3²

2x + 5 = 3²

2x + 5 = 9

2x = 9 - 5

2x = 4

x = 4 : 2

x = 2

b) (3x - 24).73 = 2.74

(3x - 24).73 = 148

3x - 24 = 148/73

3x = 148/73 + 24

3x = 1900/73

x = 1900/73 : 3

x = 1900/219

c) [3.(42 - x)] + 15 = 23.3

126 - 3x + 15 = 69

141 - 3x = 69

3x = 141 - 69

3x = 72

x = 72 : 3

x = 24

d) 126 + (132 - x) = 300

132 - x = 300 - 126

132 - x = 174

x = 132 - 174

x = -42

2)

a) 120 - (x + 55) = 60

x + 55 = 120 - 60

x + 155 = 60

x = 60 - 55

x = 5

b) (7x - 11).3 = 25.52 + 200

(7x - 11).3 = 1500

7x - 11 = 1500 : 3

7x - 11 = 500

7x = 500 + 11

7x = 511

x = 511 : 7

x = 73

c) 2x + 2x + 4 = 544

4x = 544 - 4

4x = 540

x = 540 : 4

x = 135

3) 

a) 10 + 2x = 49 : 47

10 + 2x = 49/47

2x = 49/47 - 10

2x = -421/47

x = -421/47 : 2

x = -421/94

b) 70 - 5(x - 3) = 45

5(x - 3) = 70 - 45

5(x - 3) = 25

x - 3 = 25 : 5

x - 3 = 5

x = 5 + 3

x = 8

c) 4 + 95 : x = 143 : 142 - 23

4 + 95 : x = -3123/142

95 : x = -3123/142 - 4

95 : x = -3691/142

x = 95 : (-3691/142)

x = -13490/3691

\(\left(7x-11\right)^3=25.5^2+200\)

\(\left(7x-11\right)^3=25.25+200\)

\(\left(7x-11\right)^3=625+200\)

\(\left(7x-11\right)^3=825\)

Hình như đề sai rồi bạn ơi

so sánh 15¹⁵ và 81³ .125⁵

a, 7*(x-3) + 4 = 18

<=> 7*(x+3) = 14

<=> x+3=2

<=> x= -1

b, ( 7x - 11)³ =825

 <=> 7x - 11=\(\sqrt[3]{825}\) 

<=> x=\(\frac{\sqrt[3]{825}+11}{7}\) (loại)

$\dfrac{2}{3}$

$\overline{abcd}$

2x-15=17                                          

2x=17+15

2x=32

x=32:2

x=16