Question

1) Resolva as equações exponenciais: *

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Answer 1

Resposta:

Explicação passo-a-passo:

Obs.: G e K cortadas na imagem.

A)

2^(x+3) = 1/8

2^(x+3) = 2^(-3)

x +3= - 3

x = -3-3

x = - 6

_____________

B)

5^(3x+1) = 25

5^(3x+1) = 5^2

3x + 1 = 2

3x = 2 - 1

3x= 1

x = 1/3

___________

D)

4^(x+1)/2 = 16^(1/3)

2^ 2(x+1)/2 = 2^ 4.(1/3)

x+1 = 4/3

3(x+1) = 4

3x + 3 = 4

3x = 4 - 3

3x = 1

x = 1/3

_________

E)

(2/5)^(x+3) = (125/8)^2

(2/5)^(x+3) = (8/125)^(-2)

(2/5)^ (x+3) = (2^3/5^2)^(-2)

(2/5)^(x+3) = [2/5]^(-6/4)

x + 3 = - 6/4 (:2)/(:2)

x + 3 = - 3/2

2.(x+3) = - 3

2x + 6 = - 3

2x = - 3 - 6

2x = - 9

x = - 9/2

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I)

(1/27)^(-2) = (1/3)^(x-1)

27^2 = 3^(-1).(x-1)

3^(3.2) = 3^(-x+1)

3^6 = 3^(-x +1)

6 = - x + 1

x = 1 - 6

x = - 5

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J) 8^x = 32

2^3x = 2^5

3x = 5

x = 5/3