2. Решите уравнения: а) logs (12 – 5x) = -1;

а) log₅(12 - 5x) = -1

12 - 5x = 5^-1

12 - 5x = $$\frac{1}{5}$$

5x = 12 - $$\frac{1}{5}$$

5x = $$\frac{60 - 1}{5}$$

5x = $$\frac{59}{5}$$

x = $$\frac{59}{25}$$ = 2,36

Проверка:

log₅(12 - 5(2,36)) = log₅(12 - 11,8) = log₅0,2 = log₅$$\frac{1}{5}$$ = -1

Ответ: 2,36