Question

determinati numar natural x care verifica egalitatea ​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

4^2x = 2^8

2^4x = 2^8

4x = 8

x = 2

___________

b) nu se vede tot

___________

c)

5^2x+6 = 5^4x+2

2x + 6 = 4x + 2

4x - 2x = 6 - 2

2x = 4

x = 2

___________

d)

x : 1 = 1

x = 1

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e)

3^5x = 3^50

5x = 50

x = 10

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f)

7^4x = 7^20

4x = 20

x = 5

___________

g)

x : 2^5 = 4

x = 4*2^5 = 2^2*2^5 = 2^7

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h)

x + 2^10 = 2^10

x = 0

Answer 2

Răspuns:

Explicație pas cu pas:

a) 4^2x = 2^8

2^4x = 2^8

4x = 8

x = 2

c) 5^2x+6 = 5^4x+2

2x + 6 = 4x + 2

4x - 2x = 6 - 2

2x = 4

x = 2

d) x : 1 = 1

x = 1

e) 3^5x = 3^50

5x = 50

x = 10

f) 7^4x = 7^20

4x = 20

x = 5

g) x : 2^5 = 4

x = 4x2^5 = 2^2x2^5 = 2^7

h) x + 2^10 = 2^10

x = 0