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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)