Question

il vreau pe h) urgent pls☠️☠️

Answer 1

Răspuns:

x = 1

Explicație pas cu pas:

h) 3ˣ⁺³·4ˣ⁺¹ - 5·3ˣ·4ˣ = 1236 <=>

3³·3ˣ·4·4ˣ - 5·3ˣ·4ˣ = 1236 <=>

27·4·3ˣ·4ˣ - 5·3ˣ·4ˣ = 1236 <=>

108·3ˣ·4ˣ - 5·3ˣ·4ˣ = 1236 <=>

3ˣ·4ˣ·(108-5) = 1236 =>

3ˣ·4ˣ·103 = 1236 =>

3ˣ·4ˣ = 1236:103 =>

3ˣ·4ˣ = 12 =>

(3·4)ˣ = 12 =>

12ˣ = 12 => x = 1

Answer 2

${3}^{x + 3} \times {4}^{x + 1} - 5 \times {3}^{x} \times {4}^{x} = 1236 \\ {3}^{x} \times 27 \times {4}^{x} \times 4 - 5 \times {3}^{x} \times {4}^{x} = 1236 \\ 108 \times {3}^{x} \times {4}^{x} - 5 \times {3}^{x } \times {4}^{x} = 1236 \\ {3}^{x} \times {4}^{x} (108 - 5) = 1236 \\ {3}^{x} \times {4}^{x}(103) = 1236 \\ {3}^{x} \times {4}^{x} = 1236 \div 103 \\ {3}^{x} \times {4}^{x} = 12 \\ x = 0 = > {3}^{0} \times {4}^{0} = 1 \times 1 = 1 \: (fals) \\ x = 1 = > 3 \times 4 = 12 \: (adevarat)$