\(2^x+2^{x+2}=32.\left(2^2+1\right)\)

\(\Rightarrow2^x+2^{x+2}=32.5\)

\(\Rightarrow2^x+2^{x+2}=160\)

\(\Rightarrow2^x\left(1+4\right)=160\)

\(\Rightarrow2^x.5=160\)

\(\Rightarrow2^x=160:5=32\)

\(\Rightarrow2^x=2^5\)

\(\Rightarrow x=5\)

Vậy x = 5

Các bạn giúp mình với ạ

Bài 2a:

Tìm x

5/3x + 2/3 = 1/4

5/3x = 1/4 - 2/3

5/3x = 3/12 - 8/12

5/3x = - 5/12

x = -5/12 : 5/3

x = -5/12 x 3/5

x = - 1/4

Vậy x = -1/ 4

53−3(x+4)=32

\(^{3^2}\).\(^{3^3}\)+\(2^3\).\(2^2\)

(\(^{2^3}\).\(^{3^3}\))+(\(2^2\).​\(^{3^2}\)​​​

=275

2⁴.x - 3.5x = 5² - 2⁴

=> 16.x - 15x = 25 - 16

=> x = 9

3².x + 2².x = 26.2² - 13

=> 9.x + 4.x = 26.4 - 13

=> 13.x = 91

=> x = 7

@Huỳnh Quang Sang bạn giải thích hộ mình  tại sao lại ra được kết quả như vậy ko ạ, mình chưa hiểu rõ lắm, mong bạn giải đáp

\(142-\left[50-\left(2^3×10-2^3×5\right)\right]\)

\(=142-\left[50-\left(8×10-8×5\right)\right]\)

\(=142-\left[50-\left(80-40\right)\right]\)

\(=142-\left[50-40\right]\)

\(=142-10\)

\(=132\)

142-[50-(8 x 10 - 8 x5)]

142-{50-[8 x(10-5)}

142-{50-8 x 5}

142-{50-40}

142-10

132

`A=1+2^2 +2^3 +...+2^10`

`2A=2+2^3 +2^4 +...+2^11`

`A=2+2^3 +2^4 +...+2^11 -1-2^2 -2^3 -...-2^10`

`A=2+2^11 -1-2^2`

`A=2+2048-1-4`

`A=2045`

Đặt: \(A=1+2^2+2^3+...+2^{10}\)

\(\Rightarrow2A=2\cdot\left(1+2^2+2^3+...+2^{10}\right)\)

\(\Rightarrow2A=2+2^3+2^4+...+2^{11}\)

\(\Rightarrow2A-A=\left(2+2^3+2^4+...+2^{11}\right)-\left(1+2^2+2^3+...+2^{10}\right)\)

\(\Rightarrow A=2+2^3+2^4+...+2^{11}-1-2^2-2^3-...-2^{10}\)

\(\Rightarrow A=\left(2^3-2^3\right)+\left(2^4-2^4\right)+...+\left(2^{10}-2^{10}\right)+\left(2+2^{11}-1-2^2\right)\)

\(\Rightarrow A=0+0+0+...+2+2^{11}-1-2^2\)

\(\Rightarrow A=2+2^{11}-1-4\)

\(\Rightarrow A=2^{11}-3\)

1. a) \(45x-37=53\)

\(45x=90\)

\(x=2\)

vay \(x=2\)

b) \(\frac{x}{9}+500=600\)

\(\frac{x}{9}=100\)

\(\frac{x}{9}=\frac{900}{9}\)

\(\Rightarrow x=900\)

vay \(x=900\)

c) \(576-x=139\)

\(x=576-139\)

\(x=437\)

vay \(x=437\)

d) \(\left(48+x\right)-27=79\)

\(48+x=79+27\)

\(48+x=106\)

\(x=58\)

vay \(x=58\)

2. \(2^5.2^7.2^9=2^{5+7+9}=2^{21}\)

 \(3^9.3^2.3=3^{9+2+1}=3^{12}\)

\(10^9:10^7=10^{10-7}=10^3\)

3). \(2.2.2.2.2.2=2^6\)

\(2.3.2.2.3.3.3=2^3.3^4\)

\(10.9.10.10.10.9.9=10^4.9^3\)

1 a) x= 720

b ) x=chín trăm 

c)x= 437

d)x=58

bài2   a)= 2²¹  b)3¹² c ) =10²  

bài 3 a)=2⁶ b)=2² nhân 3⁴ c )= 10³ nhân chín mũ 3 

Câu a:

2.(x + 2/5) + 1 1 /4 = 11/20

2x + 4/5 + 5/4 = 11/20

2x = 11/20 - 5/4 - 4/5

2x = 11/20 - 25/20 - 16/20

2x = -30/20

2x = -3/2

x = -3/2 : 2

x = - 3/4

Vậy x = - 3/4

Câu b:

x - 1 1/8 - 2/3x - 5/6x = 75%

(x - 2/3x - 5/6x) = 75% + 1 1/8

x (1 - 2/3 - 5/6) = 3/4 + 9/8

x (6/6 - 4/6 - 5/6) = 6/8 + 9/8

x.(-1/2) = 15/8

x = 15/8 : (-1/2)

x = 15/8 x (-2)

= -15/4