Log2 (x^2-9) = log2 (2-x) + 1

ОДЗ

x < - 3

log2 (x^2 - 9) = log2 (2 - x) + log2 (2)

log2 (x^2 - 9) = log2 (2 (2 - x))

x^2 - 9 = 2 (2 - x)

x^2 - 9 = 4 - 2x

x^2 + 2x - 13 = 0

D = 4 + 4*13 = 56

√D = 2√14

x1 = ( - 2 + 2√14) / 2 = - 1 + √14 = = > не удовлетворяет условию

x2 = ( - 2 - 2√14) / 2 = - 1 - √14

Ответ

- 1 - √14