Home
Class 12
MATHS
Let f(x) = sqrt(log(10)x^(2)).Find the s...

Let `f(x) = sqrt(log_(10)x^(2))`.Find the set of all values of x for which f (x) is real.

Text Solution

Verified by Experts

The correct Answer is:
`x le - 1 or x ge 1`

`log_(10)x^(2) ge 0`
` rArr log_(10)x^(2) ge log_(10) 1`
` rArr x^(2) ge 1`
` rArr x ge 1`
` or x le -1`.
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Exercise 1.6|6 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Exercises (Single Correct Answer Type)|50 Videos
  • LOGARITHM AND ITS PROPERTIES

    CENGAGE ENGLISH|Exercise Exercise 1.4|12 Videos
  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE ENGLISH|Exercise Subjective Type|9 Videos
  • MATHMETICAL REASONING

    CENGAGE ENGLISH|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

Find all values of f(x) for which f(x) =x+sqrt(x^2)

Find all values of f(x) for which f(x) =x+sqrt(x^2)

Let f(x)=sqrt(x^(2)-4x) and g(x) = 3x . The sum of all values for which f(x) = g(x) is

Let y=sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Let f (x) = 10 - |x-5| , x in R, then the set of all values of x at which f (f(x)) is not differentiable is

Let f(x)=a^x-xlna , a>1. Then the complete set of real values of x for which f'(x)>0 is

The set of real values of x for which 2^("log"_(sqrt(2))(x-1)) gt x+ 5, is

If f(x)=(sqrt(x^(2)-4))/(x-4) , what are all the values of x for which f(x) is defined ?

f(x)=sqrt((log(x-1))/(x^(2)-2x-8)) . Find the domain of f(x).

Let f(x) be a function such that f '(x)= log _(1//3) (log _(3) (sin x+ a)). The complete set of values of 'a' for which f (x) is strictly decreasing for all real values of x is: