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
79 views
in Logarithm by (70.4k points)
closed by
The least value of the expression `2(log)_(10)x-(log)_x(0, 01)dot` for `x >1,` is 10 (b) 2 (c) `-0. 01` (d) 4
A. 1
B. 2
C. 4
D. none of these

1 Answer

0 votes
by (70.9k points)
selected by
 
Best answer
Correct Answer - C
We have,
`2"log"_(10)x -"log"_(x) 0.01`
`=2 "log"_(10)x - "log"_(x) (10)^(-2)`
` =2 "log"_(10) x + 2"log"_(x) 10`
`=2("log"_(10)x + (1)/("log"_(10)x)) ge 2 xx 2 = 4 " " [because x gt 1 therefore "log"_(10)x gt 0]`

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.

...