14) ln 23-In(2x - 11) = ln 5.

14) ln 23 - ln(2x - 11) = ln 5

Используем свойство логарифмов: log_a b - log_a c = log_a (b/c)

ln(23 / (2x - 11)) = ln 5

23 / (2x - 11) = 5

23 = 5(2x - 11)

23 = 10x - 55

10x = 78

x = 7.8

Проверка:

ln 23 - ln(2*7.8 - 11) = ln 5

ln 23 - ln(15.6 - 11) = ln 5

ln 23 - ln(4.6) = ln 5

ln (23 / 4.6) = ln 5

ln 5 = ln 5

Ответ: x = 7.8