Question

Resolva as questões exponencial

Answer 1

Resposta:

1)

a)x = - 3

b) x = 3

c) x = - 6/3 = - 3

d) x = √4 = 2

e) x = -3/4

f) x = - 3/4

g) x = - 2/3

h) x = - 1/2

i) x = - 1/3

j) x = 1

l)

Explicação passo-a-passo:

1)

a) 5^(x + 3) = 1

5^(x + 3) = 5^0

x + 3 = 0

x = - 3

b) 2^(x² - 9) = 1

2^(x² - 9) = 2^0

x² - 9 = 0

x² = 9

x = √9

x = 3

c) 7^3x+7 = 7^1

3x + 7 = 1

3x = 1 - 7

3x = - 6

x = - 6/3 = - 3

d) 3^(x² - 3) = 3^1

x² - 3 = 1

x² = 1 + 3

x² = 4

x = √4 = 2

e) 1/9^x = √27

1/(3²)^x = √3×9

1/3^2x = 3×√3

(3^-2x)² = (3.√3)²

3^(- 2x.2) = 3².(√3)²

3^-4x = 3².3

3^-4x = 3^3

- 4x = 3

x = -3/4

f) 1/25^x = √125

1/(5²)^x = 5×√5

1/5^2x = 5×√5

(5^-2x)² = (5×√5)²

5^- 4x = 5²×5

5^-4x = 5^3

- 4x = 3

x = - 3/4

g) 1/2^x = ³√4

2^-x = ³√2²

2^-x = 2^2÷3

- x = 2/3

x = - 2/3

h) 1/3^x = √3

3^-x = √3

(3^-x)² = (√3)²

3^-2x = 3^1

- 2x = 1

x = - 1/2

i) 1/5^x = ³√5

5^-x = 5^(1/3)

- x = 1/3

x = - 1/3

j) 9^x - 4.3^x + 3 = 0

9^x - 12^x + 3 = 0

- 3^x + 3 = 0

3^x = 3^1

x = 1

l) 4^x