Question

va rooogggg ajutatima​

Answer 1

Răspuns:

Explicație pas cu pas:

b)

2^3 = 8

2^4 = 16

2^5 = 32

2^6 = 64

2^7 = 128

2^8 = 256

n = {4; 5; 6; 7}

c)

3^3 = 27

3^4 = 81

3^3 < 54 < 3^4

x + 1 = 3 ⇒ x = 3 - 1 = 2

x + 2 = 4 ⇒ x = 4 - 2 = 2

x = 2

d)

7^0 = 1

7^1 = 7

7^2 = 49

7^3 = 343

7^n-2 ≤ 7^3

n - 2 ≤ 3

n ≤ 3 + 2

n ≤ 5

n = {0, 1, 2, 3, 4, 5}

Answer 2

Explicație pas cu pas:

b)

${2}^{3} = 8, {2}^{4} = 16$

$= > {2}^{3} < {2}^{n} = > 3 < n$

${2}^{7} = 128, {2}^{8} = 256$

$= > 128 < {2}^{8} = > n < 8$

$= > 3 < n < 8$

n ∈ {4; 5; 6; 7}

c)

${3}^{3} = 27,{3}^{4} = 81$

$= > {3}^{n + 1} < {3}^{4}$

$n + 1 < 4 = > n < 3$

$= > {3}^{3} < {3}^{n + 2}$

$3 < n + 2 = > 1 < n$

$1 < n < 3 = > n = 2$

d)

${7}^{3} = 343$

${7}^{n - 2} \leqslant 343$

$n - 2 \leqslant 3 = > n \leqslant 5$

=> n ∈ {0; 1; 2; 3; 4; 5}