(1/3)^x-4> или = 3^2x+5

Question

(1/3)^x-4> или = 3^2x+5

Answer 1

(1/3)^(x-4) ≥ 3^(2x+5),
3^(4-x) ≥ 3^(2x+5),
4-x ≥ 2x+5,
3x ≤ -1,
x ≤ -1/3.

х ∈ (-∞; -1/3].

Ответ: (-∞; -1/3].