Question
Question: If log<sub>1/2</sub>(x<sup>2</sup> - 5x + 7) \> 0, then exhaustive range of values of x is...
If log1/2(x2 - 5x + 7) > 0, then exhaustive range of values of x is
A
(-∞, 2) ∪ (3, ∞)
B
(2, 3)
C
(-∞, 1) ∪ (2, ∞)
D
None of these
Answer
(2, 3)
Explanation
Solution
log1/2 (x2 - 5x + 7) > 0
⇒ 0 < x2 - 5x + 7 < 1 ⇒ x ∈ (2, 3)