Question

determinati nr natural x , ex 17 , punctele b, d, f si h. clasa a V a. 100 de puncte , va rog.​

Answer 1

2⁵¹ + 2⁵² + 2⁵³ = x·2⁵⁰

2⁵⁰(5 + 5² + 5³) = x·2⁵⁰

2⁵⁰(5 + 25 + 125) = x·2⁵⁰

155·2⁵⁰ = x·2⁵⁰

x = 155

12·4ˣ - 5·4ˣ = 7·2¹²

4ˣ(12 - 5) = 7·(2²)⁶

7·4ˣ = 7·4⁶

x = 6

9⁴³ - 9⁴² - 9⁴¹ = 71·3ˣ

9⁴¹(9² - 9 - 1) = 71·3ˣ

9⁴¹(81 - 9 - 1) = 71·3ˣ

71·(3²)⁴¹ = 71·3ˣ

71·3⁸² = 71·3ˣ

x = 82

3ˣ⁺³·4ˣ⁺¹ - 5·3ˣ·4ˣ = 1236

3ˣ·4ˣ(3³·4 - 5) = 1236

12ˣ(108 - 5) = 1236

12ˣ·103 = 1236

12ˣ = 12

12ˣ = 12¹

x = 1

Answer 2

Răspuns:

dam factor comun 2⁵⁰

2⁵⁰(5+5²+5³)=x·2⁵⁰

2⁵⁰(5+25+125)=x·2⁵⁰

2⁵⁰·155=x·2⁵⁰=>x=155

____________

dam factor comun 4ˣ

4ˣ(12-5)=7·(2²)⁶

4ˣ·7 = 7·4⁶=>x=6

____________

dam factor comun 9⁴¹

9⁴¹(9²-9-1)=71·3ˣ

9⁴¹(81-9-1)=71·3ˣ

(3²)⁴¹·71=71·3ˣ

3⁸²·71 = 71·3ˣ=>x=82

____________

dam factor comun 3ˣ·4ˣ

3ˣ·4ˣ(3³·4-5)=1236

12ˣ(108-5)=1236

12ˣ·103=1236

12ˣ=12=>12ˣ=12¹=>x=1