1) x - 36 + 12 = - x+ 10

=> x + x  = 10 + 24

=> 2x = 34

=> x = 34/2 = 17

2) (x + 15) - (11 - x) = (-2)²

=> x + 15 - 11 + x = 4

=> 2x = 4 - 4

=> 2x = 0

=> x = 0

3) 40 - 4x² = (-6)²

=> 40 -  4x² = 36

=> 4x² = 40 - 36

=> 4x² = 4

=> x² = 1

=> x = \(\pm\)1

4) (-50) + 10x² = (-25) x |-2|

=> -50 + 10x² = -50

=> 10x² = -50 + 50

=> 10x² = 0

=> x² = 0

=> x = 0

5) |x + 1| = 2020

=> \(\orbr{\begin{cases}x+1=2020\\x+1=-2020\end{cases}}\)

=> \(\orbr{\begin{cases}x=2019\\x=-2021\end{cases}}\)

6) (x + 1)⁵ + 8 = 0 (xem lại đề)

7) (-20) + x³ : 16 = -24

=> x³ : 16 = -24 + 20

=> x³ : 16 = -4

=> x³ = -4 . 16

=> x³ = -64 = (-4)³

=> x = -4

9) x¹⁴ = x¹⁷

=> x¹⁴ - x¹⁷ = 0

=> x¹⁴(1 - x³) = 0

=> \(\orbr{\begin{cases}x^{14}=0\\1-x^3=0\end{cases}}\)

=> \(\orbr{\begin{cases}x=0\\x=1\end{cases}}\)

10) (-36) + (1 - x)² = 0

=> (1 - x)² = 36

=> (1 - x)² = 6²

=> \(\orbr{\begin{cases}1-x=6\\1-x=-6\end{cases}}\)

=> \(\orbr{\begin{cases}x=-5\\x=7\end{cases}}\)

2^x.4=128

=>2^x=128:4

=>2^x=32

Mà: 2⁵=32

=>2^x=2⁵

=>x=5

2^x.4=128

=>2^x=128:4

=>2^x=32

Mà: 2⁵=32

=>2^x=2⁵

=>x=5

b) \(3.2^{x+1}=12\)

\(2^{x+1}=12:3\)

\(2^{x+1}=4\)

\(2^{x+1}=2^2\)

\(x+1=2\)

\(x=2-1\)

\(x=1\)

Vậy \(x=1\)

c) \(2^{x-1}=2^3+2^4-2^3\)

\(2^{x-1}=8+16-8\)

\(2^{x-1}=16\)

\(2^{x-1}=2^4\)

\(x-1=4\)

\(x=5\)

Vậy \(x=5\)

d) \(x^{50}=x\)

\(x^{50}-x=0\)

\(\Rightarrow x\in\left\{0;1\right\}\)

Vậy \(x\in\left\{0;1\right\}\)

\(b.3.2^{x+1}=12\\ \Rightarrow2^{x+1}=4\\ \Rightarrow2^{x+1}=2^2\\ \Rightarrow x=1\\ \)

c) \(2^{x-1}=2^3-2^3+2^4\\ \Rightarrow2^{x-1}=0+16\\ \Rightarrow2^{x-1}=16\\ \Rightarrow2^{x-1}=2^4\\ \Rightarrow x-1=4\\ \Rightarrow x=5\)

d) \(x^{50}=x\\ \Rightarrow x=0;1\)

e) \(2\left(2x-1\right)^4=32\\ \Rightarrow\left(2x-1\right)^4=16\\ \Rightarrow\left(2x-1\right)^4=2^4\\ \Rightarrow2x-1=2\\ \Rightarrow2x=3\\ \Rightarrow x=\frac{3}{2}\)

g) Bí 

2^x.4=128

=> 2^x=128:4

=> 2^x=32

=> 2^x=2⁵

=> x=5

(2^x+1)³=125

=>(2^x+1)³=5³

=>2^x+1=5

=>2^x=5-1

=>2^x=4

=>2^x=2²

=>x=2

2^x-15=17

=>2^x=17+15

=>2^x=32

=>2^x=2⁵

=>x=5

a) x=5

b) x=2

c) x=5

(2*x+1)³=125

 (2*x+1)=5^3

  2*x+1 =5

  2*x     =5-1

  2*x     =4

          x=4:2

          x=2

con may cau hoi kia lat lam tiep

chuc bn hoc gioi!

nha

a, x=2

b, x=5

x=1

a) \(2^x\times4=128\)

\(2^x=128:4=32=2^5\)

\(x=5\)

b) \(x^{100}=x\)

\(x^{100}-x=0\)

\(x\left(x^{99}-1\right)=0\)

x=0 hoặc x=1

c) \(\left(2x+1\right)^3=125=5^3\)

\(2x+1=5\)

\(x=2\)

d) \(\left(x-2\right)^{2016}=\left(x-2\right)^{2014}\)

\(\left(x-2\right)^{2014}\left(\left(x-2\right)^2-1\right)=0\)

\(x=0\) hoặc \(\left(x-2\right)^2=1\)

x=0 hoặc x=3 hoặc x=1

a)2^x.4=128

  2^x=128:4=32

=>x=5

b)x¹⁰⁰=x

=>x=1

c) (2x+1)³ =125

    (2x+1)³=5³

=> 2x+1=5

     2x=5-1=4

       x=4:2

       x=2

d) (x-2)²⁰¹⁶=(x-2)²⁰¹⁴

=> x=2 (vì 2-2=1,mà 1 mũ mấy cũng bằng 1)