Question

помогите пожалуйста ​

Answer 1

Пошаговое объяснение:

$2 {}^{x {}^{2} - 3 } = 4 {}^{x} \\ 2 {}^{x {}^{2} - 3 } = 2 {}^{2x} \\ x {}^{2} - 3 = 2x \\ x {}^{2} - 3 - 2x = 0 \\ x {}^{2} - 2x - 3 = 0 \\ x {}^{2} + x - 3x - 3 = 0 \\ x \times (x + 1) - 3(x + 1) = 0 \\ (x + 1) \times (x - 3) = 0 \\ x + 1 = 0 \\ x - 3 = 0 \\ x = - 1 \\ x = 3 \\ x_{1} = - 1. \: \: \: \: x_{2} = 3$