Question

resolva as equações exponenciais abaixo:

Answer 1

a) 3 ⁴ˣ = 81

3⁴ˣ = 3⁴

4x = 4

x = 4/4

x = 1

b) 10 ²ˣ ⁺ ² = 1000

10 ²ˣ ⁺ ² = 10³

2x + 2 = 3

2x = 3 - 2

2x = 1

x = 1/2

c) 5 ²ˣ = 625

5²ˣ = 5⁴

2x = 4

x = 4/2

x = 2

d) 5ˣ ⁺ ² = 125

5ˣ ⁺ ² = 5³

x + 2 = 3

x = 3 - 2

x = 1

e) 6ˣ = 1

6ˣ = 6⁰

x = 0

Answer 2

a) 3 ⁴ˣ = 81

3⁴ˣ = 3⁴

4x = 4

x = 4/4

x = 1

b) 10 ²ˣ ⁺ ² = 1000

10 ²ˣ ⁺ ² = 10³

2x + 2 = 3

2x = 3 - 2

2x = 1

x = 1/2

c) 5 ²ˣ = 625

5²ˣ = 5⁴

2x = 4

x = 4/2

x = 2

d) 5ˣ ⁺ ² = 125

5ˣ ⁺ ² = 5³

x + 2 = 3

x = 3 - 2

x = 1

e) 6ˣ = 1

6ˣ = 6⁰

x = 0