Question
Question: If Iog<sub>3</sub>(x<sup>2</sup> – 6x + 11) \< 1, then the exhaustive range of values of x is...
If Iog3(x2 – 6x + 11) < 1, then the exhaustive range of values of x is
A
(-∞, 2) ∪ (4, ∞)
B
(2, 4)
C
(-∞, 1) ∪ (1, 3) ∪ (4, ∞)
D
None of these
Answer
(2, 4)
Explanation
Solution
log3(x2 – 6x + 11) < 1
⇒ 0 < x2 – 6x + 11 < 3 ⇒ x ∈ (2, 4)