| 3 | ||
log3 | >log3(5−x)
| |
| x−1 |
| 3 | |
>5−x
| |
| x−1 |
| 3 | |
−5+x>0
| |
| x−1 |
| 3−5x+5+x2−x | |
>0
| |
| x−1 |
| 1 | ||
Założenia: 10 2x − 3 ≠ 0 ⇒ x ≠ 1 | ||
| 2 |
| x+1 | ||
20 | > 0 | |
| 2x−3 |
| 1 | ||
x=−1 x=1 | ||
| 2 |
| 1 | ||
−1 1 | ||
| 2 |
| 1 | ||
x∊ ( −∞, −1) ∪ (1 | , ∞) | |
| 2 |
| 1 | ||
Czyli Df = (−∞, −1) ∪ ( 1 | , ∞) | |
| 2 |
| x + 1 | |
= 8 /* (2x − 3 ) | |
| 2x − 3 |
| 25 | 2 | |||
−15x = −25 ⇒ x = | = 1 | ∊ Df | ||
| 15 | 3 |
| 2 | ||
Odp. x = 1 | ||
| 3 |