Question

Помогите пожалуйста с решением

Answer 1

1.

${4}^{x + 1} + {4}^{x - 2} = 260 \\ {4}^{x} (4 + \frac{1}{16} ) = 260 \\ {4}^{x} = 64 \\ {4}^{x} = {4}^{3} \\ x = 3$

2.

${3}^{2x} - 4 \times {3}^{x} = 45 \\ {3}^{x} = y \\ {y}^{2} - 4y - 45 = 0 \\ y(1) = - 5 \: \: (p.k) \\ y(2) = 9 \\ {3}^{x} = 9 \\ x = 2$