Question

Решить уравнение 10*5 в степени x-1, +5 в степени x+1 =7

Answer 1

$10 \times {5}^{x - 1} + {5}^{x + 1} = 7 \\ 2 \times 5 \times \frac{{5}^{x} }{5} + {5}^{x} \times 5 = 7 \\ 2 \times {5}^{x} + 5 \times {5}^{x} = 7 \\ {5}^{x} (2 + 5) = 7 \\ {5}^{x} = 1 \\ {5}^{x} = {5}^{0} \\ x = 0$