a,  1170 : x - 13 = 339 . 3 . 10 2

1170:(x - 13) = 339 - 3.100

1170:(x - 13) = 39

x - 13 = 1170:39 = 30 

x = 30+13 = 43

b,  3 x - 9 + 15 = 12 + 243 : 3 2

3(x - 9) + 15 = 12+243:9

3(x - 9)+15 = 12+27

3(x - 9)+15 = 39

3(x - 9) = 24

x  - 9 = 8

x = 17

a)2x.2x+1=128

\(4x^2+1=128\)

\(\Rightarrow4x^2=127\)

\(\Rightarrow x^2=127\div4\)

\(\Rightarrow x^2=3.175\)

mà \(x\in N\) hay\(x^2\in N\)

\(\Rightarrow\)Không có x

b)  3x+1.3x=243

\(\Rightarrow\)3x+3x=243

\(\Rightarrow\)6x=243

\(\Rightarrow\)x=40,5

Mà \(x\in N\)

\(\Rightarrow\)Không có x

`@` `\text {Ans}`

`\downarrow`

`2^x = 16`

`=> 2^x = 2^4`

`=> x = 4`

Vậy, `x = 4.`

____

`2^x*16 = 1024`

`=> 2^x =`\(2^{10}\div2^4\)

`=> 2^x = 2^6`

`=> x = 6`

Vậy, `x = 6`

______

`2^x - 26 = 6`

`=> 2^x = 6 + 26`

`=> 2^x = 32`

`=> 2^x = 2^5`

`=> x = 5`

Vậy, `x = 5`

`3^x*3 = 243`

`=> 3^x * 3 = 3^5`

`=> 3^x = 3^5 \div 3`

`=> 3^x = 3^4`

`=> x = 4`

Vậy, `x = 4.`

a) x = 4                

b) x = 7     

c) x = 2                

d) x = 5

e) x = 2                

f) x= 1. 

Mua tài khoản VIP để học tập không giới hạn trên OLM!

a) x = 4

b) x = 7

c) x = 2

d) x = 5

e) x = 2

 f) x= 1

\(\Leftrightarrow\left(3x-5;y+9\right)\in\left\{\left(1;243\right);\left(3;81\right);\left(9;27\right);\left(27;9\right);\left(81;3\right);\left(243;1\right);\left(-1;-243\right);\left(-3;-81\right);\left(-9;-27\right);\left(-27;-9\right);\left(-81;-3\right);\left(-243;-1\right)\right\}\)

\(\Leftrightarrow\left(x,y\right)\in\left\{\left(2;234\right);\left(\dfrac{8}{3};72\right);\left(\dfrac{14}{3};18\right);\left(\dfrac{32}{3};0\right)\right\}\)(vì x,y là các số tự nhiên)

cứu

a: =>(2x-1)^5=2^5

=>2x-1=2

=>2x=3

=>x=3/2

b: =>3^x=243*27=3^5*3^3=3^8

=>x=8

a) \(2^x\cdot4=16\)

\(\Rightarrow2^x=16:4\)

\(\Rightarrow2^x=4\)

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

\(\Rightarrow x=2\)

b) \(3^x\cdot3=243\)

\(\Rightarrow3^x=243:3\)

\(\Rightarrow3^x=81\)

\(\Rightarrow3^x=3^4\)

\(\Rightarrow x=4\)

\(3(x-9)+15=12+243:3^2\)

=> 3x - 27 + 15 = 12 + 243 : 9

=> 3x - 27 + 15 = 12 + 27

=> 3x - 27 + 15 = 39

=> 3x - 27 = 39 - 15

=> 3x - 27 = 24

=> 3x = 24 + 27

=> 3x = 51

=> x = 51 : 3 = 17

Vậy x = 17

\(1170:(x-13)=339-3\cdot10^2\)

=> 1170 : [x-13] = 339 - 3 . 100

=> 1170 : [x - 13] = 339 - 300

=> 1170 : [x-13] = 39

=> x - 13 = 30

=> x = 43

a) 3 ( x - 9 ) + 15 = 12 + 243 : 3²

3 ( x - 9 ) + 15 = 12 + 27

3 ( x - 9 ) + 15 = 39

3 ( x - 9 ) = 39 - 15

3 ( x - 9 ) = 24

x - 9 = 24 : 3

x - 9 = 8

x = 8 + 9

x = 17

Vậy x = 17

b) 1170 : ( x - 13 ) = 339 - 3 . 10²

1170 : ( x - 13 ) = 339 - 300

1170 : ( x - 13 ) = 39

x - 13 = 1170 : 39

x - 13 = 30

x = 30 + 13

x = 43

Vậy x = 43

=))

a) Ta có : 2 x : 2 2 = 2 5  nên x = 7.

b) Ta có: 3 x : 3 2 = 3 5  nên x = 7.

c) Ta có : 4 4 : 4 x = 4 2  nên x = 2.