\(a,4^{2x-6}=1\)\(\Leftrightarrow2x-6=0\Leftrightarrow2x=6\Rightarrow x=3\)

\(b,2^{2x-1}=16\Rightarrow2^{2x-1}=2^4\)

\(\Rightarrow2x-1=4\Rightarrow2x=5\Rightarrow x=\frac{5}{2}\)

\(c,5< 5^x< 125\Rightarrow5^1< 5^x< 5^3\)\(\Rightarrow1< x< 3\)

\(d,5^{x+1}=125\Rightarrow5^{x+1}=5^3\Rightarrow x+1=3\Rightarrow x=2\)

\(a,4^{2x-6}=1\)

\(4^{2x-6}=4^0\)

\(\Rightarrow2x-6=0\)

\(\Rightarrow2x=6\Leftrightarrow x=3\)

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

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

\(\Rightarrow x-1=4\)

\(\Rightarrow x=5\)

720:[41-(2x-5)]=2^3.5

720:[41-2x+5]=40

[41+5-2x]=720:40

46-2x=18

2x=46-18

2x=28

x=14

a,  2^x.4=128

2^x=128:4

2^x=32

2^x=2⁵

x=5

Vay x=5

b, x¹⁵=x

x=1

Vay x=1

a) 5^x = 125

\(\Rightarrow\)5^x = 5³

\(\Rightarrow\)x = 3

b, 3^2x = 81

\(\Rightarrow\)3^2x = 3⁴

\(\Rightarrow\)2x = 4

\(\Rightarrow\)  x = 4 : 2

\(\Rightarrow\)  x = 2

c, 5^2x-3 - 2 . 5² = 5² . 3

5^2x-3 - 2 . 25 = 25 . 3

5^2x-3 - 50 = 75

5^2x-3 = 75 + 50

5^2x-3 = 125

5^2x-3 = 5³

2x - 3 = 3

2x = 3 + 3

2x = 6

  x = 6 : 2

  x = 3

a, 5^x = 125 suy ra 5^x = 5³ suy ra x = 3

b, 3^2x = 81 suy ra 3^2x = 3⁴ suy ra x = 2

c, 5^{2x - 3} - 2.5² = 5² . 3

suy ra 5^2x : 5³ = 5² .3 + 2. 5²

suy ra 5^2x : 5³ = 5² . 5

suy ra 5^2x = 5³ . 5² . 5³

5^2x = 5⁶ suy ra 2x = 6 suy ra x = 3

Nếu bài dễ thì cố gắng tự làm bạn nhé.

Bài 1:

a) \(2x+3=5\)

\(\Leftrightarrow2x=5-3=2\)

\(\Leftrightarrow x=2:2=1\)

Vậy: x=1

b) \(\left(2x-3\right)^2=9\)\(=3^2=\left(-3\right)^2\)

\(\Rightarrow\left[{}\begin{matrix}2x-3=3\\2x-3=-3\end{matrix}\right.\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\left(3+3\right):2=3\\x=\left(-3+3\right):2=0\end{matrix}\right.\)

Vậy: \(x\in\left\{3;0\right\}\)

c) \(3x+4=2x-7\)

\(\Leftrightarrow2x-3x=7+4\)

\(\Leftrightarrow-1x=11\)

\(\Leftrightarrow x=-11\)

Vậy: x=-11

d) \(\left(4x-1\right)^3=27\)\(=3^3\)

\(\Rightarrow4x-1=3\)

\(\Leftrightarrow4x=3+1=4\)

\(\Leftrightarrow x=4:4=1\)

Vậy: x=1

e) \(\left(x-7\right).2=3.\left(2x+4\right)\)

\(\Leftrightarrow2x-14=6x+12\)

\(\Leftrightarrow2x-6x=12+14\)

\(\Leftrightarrow-4x=26\)

\(\Leftrightarrow x=\frac{26}{-4}=\frac{13}{-2}\)

Vậy: \(x=\frac{13}{-2}\)

ko biet

làm giúp mk đi mk đang cần gấp

a)5^x+1=125

5^x+1=5³

Suy ra:x+1=3

            x =3—1

x =2

a) 5^2x+1=125

=>5^2x+1= 5³

=>2x+1=3

=>2x    = 2

=>x     =1

c)7³<x <=9³

=>343<x<=729

=> x = { 344;345;...;729}

d) (2x+3)⁴=81

=>(2x+3)⁴=3⁴

=>2x+3    =3

=>2x        =0

=>  x        = 0

nhớ tk nha

a)5^2x+1=125

5^2x+1=5³

⏩ 2x+1=3

2x=4

x=4:2

x=2

b) (2x)²(2x) ³ =2⁵.2⁵

(2x) ² (2x) ³ =2¹⁰

(2x) ⁵=1024

(2x) ⁵ =4⁵

2x=4

x=4 :2=2

d)(2x +3)⁴=81

(2x +3)⁴=3⁴

2x+3=3

2x=0

x=0

Câu c bạn tự giải nhé

Nhớ tk giùm mình đấy

GIÚP MÌNH VỚI Ạ MÌNH CẦN GẤP

a) Ta có: \(4^{2x-6}=1\)

     \(\Rightarrow2x-6=1\)

     \(\Rightarrow2x=6+1=7\)

     \(\Rightarrow x=\frac{7}{2}\)

b) Ta có:\(2^{x-1}=16=2^4\)

     \(\Rightarrow x-1=4\)

     \(\Rightarrow x=5\)

c) Ta có: \(5^{x+1}=125=5^3\)

     \(\Rightarrow x+1=3\)

     \(\Rightarrow x=2\)

d) Ta có: \(5^{2x-3}-2.5^2=5^2.3\)

     \(\Rightarrow5^{2x-3}=5^2.3+2.5^2\)

     \(\Rightarrow5^{2x-3}=5^2.\left(3+2\right)=5^2.5=5^3\)

     \(\Rightarrow2x-3=3\)

     \(\Rightarrow2x=6\)

     \(\Rightarrow x=3\)

4^2x-6 = 1

=> 4^2x-6 = 4⁰

=> 2x - 6 = 0

=> 2x = 6

=> x = 3

5^x+1 = 125

=> 5^x+1 = 5³

=> x + 1 = 3

=> x = 2

5^2x-3 - 2.5² = 5².3

=> 5^2x-3 = 5².3 + 2.5²

=> 5^2x-3 = 5²( 3 + 2 )

=> 5^2x-3 = 5².5

=> 5^2x-3 = 5³

=> 2x - 3 = 3

=> 2x = 6

=> x = 3