1. 5·4ˣ+2·25ˣ-7·10ˣ≤0 2. 9ˣ+4ˣ-2·6ˣ>0 3. 4·3^2x-9·2^2x-5·6^x<0

1. 5·4ˣ + 2·25ˣ - 7·10ˣ ≤ 0| : 10ˣ

5 * (2/5) ˣ + 2 * (5/2) ˣ - 7 ≤ 0; t = (5/2) ˣ

5/t + 2t - 7 ≤ 0

t<0 или 1≤ t ≤ 5/2 (5/2) ˣ <0 или 1≤ (5/2) ˣ ≤ 5/2 (5/2) ^0 ≤ (5/2) ˣ ≤ 5/> 0≤ x ≤ 1

Ответ: 0≤ x ≤ 1

2. 9ˣ + 4ˣ - 2·6ˣ > 0 | : 6ˣ

(3/2) ˣ + (2/3) ˣ - 2 > 0; t = (3/2) ˣ

t - 1/t - 2 > 0 = > 0 x0

Ответ: x0

3. 4·3^2x - 9·2^2x - 5·6^x < 0 | : 6^x

4 * (3/2) ^x - 9 * (2/3) ^x - 5 < 0; t = (3/2) ^x

4t - 9/t - 5 t< (-1) или 0 < t < 9/4 (3/2) ^x< (-1) или 0 < (3/2) ^x < 9/4 (3/2) ^x x < 2

Ответ: x < 2