Ответ:

x1 = 8

x2 = 98

Пошаговое объяснение:

lg^2 (x + 2) - 3 lg (x + 2) + 2 = 0

ОДЗ: x + 2 > 0

        x > -2

lg^2 (x + 2) - 3 lg (x + 2) + 2 = 0

lg (x + 2) = t

t^2 - 3t + 2 = 0

t1 = 1

t2 = 2

lg (x + 2) = 1

lg (x + 2) = 2

x1 = 8

x2 = 98