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17 tháng 8 2022

\(2.3^x=162\)

\(3^x=162:2\)

\(3^x=81\)

\(3^4=81\)

Vậy x = 4

 

17 tháng 8 2022

2.3x=162

   3x= 162 : 2

   3x= 81

  3x= 34

17 tháng 1 2016

n+1 chia hết cho n+4

=>n+4-3 chia hết cho n+4

=>n+4\(\varepsilon\)Ư(3)={+1;+3}

n+4=1=>n=-3

n+4=-1=>n=-5

n+4=3=>n=-1

n+4=-3=>n=-7

17 tháng 1 2016

n+1 chia n+4 =1 dư -3 (chia đa thức cho đa thức )

mà n+1 chia hết cho n+4 (gt)=> n+4 là ước của n+1 => n+4 thuộc Ư(-3)={-3,-1.1.3}

n+4=-3=> n=-7

n+4=-1=> n=-5

n+4=1=> n=-3

n+4=3=> n=-1

(162+3x)+(x-2)=0

=> 162+3x+x-2=0

=> 162+4x-2=0

=> 4x=0-162+2

=> 4x=-160

=> x=-40

2 tháng 8 2023

Tách ?

`a, 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`

______

`b,10 + 2.x = 4^5:4^3`

`=> 10 + 2.x = 4^(5-3)`

`=> 10 + 2.x =4^2=16`

`=> 2.x=16-10`

`=>2.x=6`

`=>x=6:2`

`=>x=3`

_____

`c,60-3.x-2=51`

`=>  60-3.x= 51+2`

`=> 60-3.x=53`

`=>3.x=60-53`

`=> 3.x= 7`

`=>x= 7/3`

____

`d, 4.x-20=2^5:2^3`

`=> 4.x-20=2^(5-3)`

`=> 4.x-20=2^2`

`=> 4.x= 4+20`

`=>4.x=24`

`=>x=24:4`

`=>x=6`

____

`2^x . 4=16`

`=> 2^x=16:4`

`=>2^x= 4`

`=>2^x=2^2`

`=>x=2`

____

`f, 3^x . 3=243`

`=>3^x=243:3`

`=> 3^x=81`

`=> 3^x=3^3`

`=>x=3`

_____

`g, 64. 4^x =16^8`

`=> 4^3 . 4^x=(4^2)^8`

`=> 4^3 . 4^x = 4^(16)`

`=> 4^x= 4^(16-3)`

`=>4^x=4^(13)`

`=>x=13`

_____

`2^x . 16^2 =1024`

`=> 2^x= 1024 : 16^2`

`=>2^x=4`

`=>2^x=2^2`

`=>x=2`

a: =>5(x-3)=25

=>x-3=5

=>x=8

b: =>2x=16-10=6

=>x=3

c: =>58-3x=51

=>3x=7

=>x=7/3

d: =>4x-20=4

=>4x=24

=>x=6

e: =>2^x=4

=>2^x=2^2

=>x=2

f: =>3^x=81

=>3^x=3^4

=>x=4

g: =>4^x*4^3=4^16

=>x+3=16

=>x=13

h: =>2^x=1024/256=4=2^2

=>x=2

24 tháng 7 2023

a) \(3^x\cdot3=243\)

\(\Rightarrow3^{x+1}=243\)

\(\Rightarrow3^{x+1}=3^5\)

\(\Rightarrow x+1=5\)

\(\Rightarrow x=4\)

b) \(2^x\cdot162=1024\)

Xem lại đề

c) \(64\cdot4^x=168\)

Xem lại đề

d) \(2^x=16\)

\(\Rightarrow2^x=2^4\)

\(\Rightarrow x=4\)

a: =>3^x=81

=>x=4

b: =>2^x=1024/16^2=4

=>x=2

c: =>4^x=16^8/64=4^16/4^3=4^13

=>x=13

10 tháng 2 2018

a. -3

b. -71

c. -40

d. 358

e. ?i

f. 10

mình chỉ cho đáp án được thôi vì mình đang gấp nên ko thể trình bày được, câu e mình ko hiểu bạn ghi gì hết. bạn gửi lại câu e đi.

10 tháng 2 2018

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25 tháng 8 2016

a, (2x-1)3=8

2x-1=2

2x=2+1

2x=3

x=1,5

a, \(\left(2x-1\right)^3=8\)

\(\Leftrightarrow\left(2x-1\right)^3=2^3\)

\(\Leftrightarrow2x-1=2\Leftrightarrow2x=3\Leftrightarrow x=\frac{3}{2}\)

b, \(\left(x-1\right)^x+2=\left(x-1\right)^x+4\)

\(\Leftrightarrow\left(x-1\right)^x+2-\left(x-1\right)^x-4=0\)

\(\Leftrightarrow-2\ne0\)=> vô nghiệm 

c, \(3^x-1+5.3^{3x}-1=162\)

Đề sai.

27 tháng 12 2014

a) 3x+x2=0

=> 3x+x.x=0

=> x(3+x)=0

=> x=0 hoặc 3+x=0

  • x=0
  • 3+x=0 => x=-3

Vậy x thuộc {-3;0}

b) 3x-1+5.3x-1=162

3x-1(1+5)=162

3x-1.6=162

3x-1=162:6

3x-1=27

=>3x-1=33

=>x-1=3

=>x=2

Vậy x=2

10 tháng 4 2016

Bạn Đinh Ngọc Duy Uyên làm sai phần b) rùi. kết quả là x=4 mà !!