Solve "log"(1//2)(x^2-5x+7)ge0...

Solve `"log"_(1//2)(x^2-5x+7)ge0`

Text Solution

Verified by Experts

By definition, `x^2-5x+7gt0`
Also, `1/2lt1` so `"log"_(1//2)(x^2-5x+7)gt0="log"_(1//2)1`
or, `x^2-5x+7lt1`
or `0ltx^2-5x+7lt1impliesx in(2,3)`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

3D-GEOMETRY
PATHFINDER|Exercise QUESTION BANK|39 Videos
BINOMIAL THEOREM
PATHFINDER|Exercise QUESTION BANK|225 Videos

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK

Without using any table determine the bigger of "log"(1/2)3 and "log"...
Text Solution
|
Solve for x : "log"(1/3)(1-x)ge0
Text Solution
|
Solve "log"(1//2)(x^2-5x+7)ge0
Text Solution
|
Solve : "log"(1//2)xge"log"(1//3)x
Text Solution
|
Show that "log"2 3is not a rational number.
Text Solution
|
In a right-angled triangle, a and b are the lengths of sides and c is ...
Text Solution
|
Find the value of x satisfying "log"a(1+"log"b{1+"log"c(1+"log"px)})=0
Text Solution
|
Solve for 'x' 9^("log"3("log"2x))="log"2x-("log"2x)^2+1
Text Solution
|
If a,b,c be three distinct positive numbers, each different from 1 suc...
Text Solution
|
Solve the inequation : root(5)([3/(x+1)+7/(x+2)])lt root(5)(6/(x-1))
Text Solution
|
If "log"(0.3)(x-1)lt"log"(0.09)(x-1), then find the interval in which ...
Text Solution
|
Solve for 'x' : abs(x-3) lt2
Text Solution
|
Solve for 'x' : abs(x-3) gt2
Text Solution
|
Solve for 'x' : 1 lt abs(x-2)lt3
Text Solution
|
Solve for 'x' : abs(x-1)+abs(2x-3)=abs(3x-4
Text Solution
|
Solve : abs(x+3) gt abs(2x-1)
Text Solution
|
Solve : abs(x^2+3x)+x^2-2ge0
Text Solution
|
Solve : abs(x-1)+abs(x-2)=6
Text Solution
|
Prove that 2(sin^6theta+cos^6theta)-3(sin^4theta+cos^4theta)+1=0
Text Solution
|
Show that : 3(sinx-cosx)^4+6(sinx+cosx)^2+4(sin^6x-cos^6x) is indepe...
Text Solution
|