Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
589 views
in Logarithm by (70.4k points)
closed by
The set of real values of `x` satisfying `log_(1/2) (x^2-6x+12)>=-2`
A. `(-oo, 2]`
B. `[2, 4]`
C. `[4, oo)`
D. none of these

1 Answer

0 votes
by (70.9k points)
selected by
 
Best answer
Correct Answer - B
As `x^(2)-6x + 12 gt 0` for all x. Therefore, `"log"_(1//2)(x^(2)-6x + 12)` is defined for all` x in R`
Now,
`"log"_(1//2)(x^(2)-6x + 12) ge -2`
`rArr x^(2)-6x + 12 le ((1)/(2))^(-2)`
`rArr x^(2)-6x +8 le 0 rArr (x-2)(x-4) le 0 rArr x in [2, 4]`

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...