If x is a real number, then loge4x-x23 is a real number if and only if
Explanation:
It is given that, loge4x-x23 is a real number
Therefore, loge4x-x23 ≥ 0
⇒ 4x-x23 ≥ 1
⇒ 4x – x2 ≥ 3
⇒ x2 - 4x + 3 ≤ 0
⇒ (x - 1)(x - 3) ≤ 0
⇒ x ∈ [1, 3]
Hence, option (c).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.