Question

(2x-4) mũ 210=(2x-4) mũ 10

Answer 1

=>(2x-4)^10*[(2x-4)^200-1]=0

=>(2x-4)(2x-5)(2x-6)=0

hay \(x\in\left\{2;\dfrac{5}{2};3\right\}\)

Answer 2

(2x - 4)²¹⁰ = (2x - 4)¹⁰

(2x - 4)²¹⁰ - (2x - 4)¹⁰ = 0

(2x - 4)¹⁰.[(2x - 4)²⁰⁰ - 1] = 0

(2x - 4)¹⁰ = 0 hoặc (2x - 4)²⁰⁰ - 1 = 0

*) (2x - 4)¹⁰ = 0

2x - 4 = 0

2x = 4

x = 2

*) (2x - 4)²⁰⁰ - 1 = 0

(2x - 4)²⁰⁰ = 1

2x - 4 = 1 hoặc 2x - 4 = -1

**) 2x - 4 = 1

2x = 1 + 4

2x = 5

x = 5/2

**) 2x - 4 = -1

2x = -1 + 4

2x = 3

x = 3/2

Vậy x = 3/2; x = 2; x = 5/2