11) logπ(5x + 13) + logπ 2 = logπ 17;

11) log_π(5x + 13) + log_π 2 = log_π 17

Используем свойство логарифмов: log_a b + log_a c = log_a (b*c)

log_π((5x + 13) * 2) = log_π 17

2(5x + 13) = 17

10x + 26 = 17

10x = -9

x = -0.9

Проверка:

log_π(5*(-0.9) + 13) + log_π 2 = log_π 17

log_π(-4.5 + 13) + log_π 2 = log_π 17

log_π(8.5) + log_π 2 = log_π 17

log_π(8.5 * 2) = log_π 17

log_π 17 = log_π 17

Ответ: x = -0.9