Logarithmic Inequalities
Trending Questions
Q.
Solution set of the inequality log0.8(log6x2+xx+4)<0
(-4, -3)
(−3, 4)∪(8, ∞)
(−4, −3)∪(8, ∞)
(−3, ∞)
Q. log(x−2)(2x−3)>log(x−2)(24−6x)
The solution set of the above inequality has integral values of x___
The solution set of the above inequality has integral values of x
Q. If log0.04(x−1)≥log0.2(x−1) then x belongs to the interval
- None of these
- (1, 2]
- (−∞, 2)
- [2, +∞]
Q. If A is the set of all xϵR such that x(log x)2−3 log x+1>1000, and A=(a, ∞) then √10a will be ___
Q. The set of real values of x for which 2log√2 (x−1)>x+5 is
- None of these
- (−∞, −1)∪(4, +∞)
- (4, +∞)
- (−1, 4)
Q. If log03(x−1)<log0 09(x−1), then x lies in the interval
- (−2, −1)
- (1, 2)
- None
- (2, ∞)
Q.
If log0.5 (x−1)<log0.25 (x−1), then x lies in the interval.
(2, ∞)
(3, ∞)
(−∞, 0)
(0, 3)
Q. If x=log5(1000) and y=log7(2058) then
- x < y
- x = y
- None of these
- x > y
Q. The number log20 3 lies in
- (14, 13)
- (13, 12)
- (12, 34)
- (34, 45)
Q.
If x∈R satisfies (log10100x)2+(log1010x)2+log10x≤14 then x contains the interval
(0, 10)
[10−92, 10]
(0, ∞)
(−1, ∞)