Question

Va rog, ajutor !
60 de puncte !
Dau coroana !​

Answer 1

1. 4^x²=1

4^x²=4⁰

x²=0

2. 3^3x+1=27

3^3x+1=3³

3x+1=3

3x=2

x=2/3

3. 7^2x=1/343

7^2x=7^-3

2x=-3

x=-3/2

4. 2^3x-1=16

2^3x-1=2⁴

3x-1=4

3x=5

x=5/3

5. 5^x=1/5^3x

5^x=5^-3x

x=-3x

4x=0

x=0

Answer 2

Răspuns:

Explicație pas cu pas:

a) 4^x² = 1  <=> 4⁰  => x² = 0 => x₁=x₂ = 0

b) 3³ˣ⁺¹ = 27 <=> 3³ˣ⁺¹ = 3³  => 3x+1 = 3 => 3x = 3-1 => x = 2/3

c) 7²ˣ = 1/343 <=> 7²ˣ = 1/7³ <=> 7²ˣ = 7⁻³  => 2x = -3  => x = -3/2

d) 2³ˣ⁻¹ = 16  <=> 2³ˣ⁻¹ = 2⁴ => 3x-1 = 4 => 3x = 5 => x = 5/3

e) 5ˣ = 1/5³ˣ  <=> 5ˣ = 5⁻³ˣ  => x = -3x  => 4x = 0 => x = 0

f) 2²ˣ⁺¹ = 1/8  <=> 2²ˣ⁺¹ = 1/2³ <=> 2²ˣ⁺¹ = 2⁻³  => 2x+1 = -3 =>

2x = -4 => x = -2