Home
Class 12
MATHS
Which of the following is not the soluti...

Which of the following is not the solution of `(16^(1//x))/(2^(x+3))gt 1` ?

A

`(-oo,-4)`

B

(0,1)

C

`(0, oo)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`2^((4)/(x)-x-3)gt2^(0)`
`rArr (4)/(x)-x-3 gt 0`
`rArr (4-x^(2)-3x)/(x)gt 0`
`rArr (x^(2)+3x-4)/(x)lt 0`
`rArr ((x+4)(x-1))/(x)lt0`
`rArr x in(-oo,-4)uu(0,1)`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE|Exercise Subjective Type|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE|Exercise JEE Previous Year|5 Videos

Similar Questions

Explore conceptually related problems

Which of the following is not the solution log_(x)(5/2-1/x) gt (5/2-1/x) ?

The solution of |x+(1)/(x)| gt 2 is

Number of integral solutions of (x+2)/(x^2 + 1) gt 1/2 is

The solution set of the inequation (x+11)/(x-3) gt 0 is

IfI_1=int_0^1 2^(x^2) ,I_2=int_0^1 2^(x^3)dx ,I_3=int_1^2 2^(x^2)dx ,I_4=int_1^2 2^(x^3)dx , then which of the following is/are true? I_1> I_2 (b) I_2> I_1 I_3> I_4 (d) I_3 lt I_4

Find the derivatives from the left and from the right at x=1 (if they exist) of the following functions. Are the functions differentiable at x=1? f(x)={{:(x",", x le 1), (x^(2)",", x gt 1):}