Home
Class 12
MATHS
The real values of x for which 3^(72) ((...

The real values of x for which `3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x))` lt 1, are :

A

`x in [0, 64]`

B

`x in (0,64)`

C

`x in [ 0, 64)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

The real values of x for which : 3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x)) gt 1 are :

find the value of x for which |(3,x),(x,1)|=|(3,2),(4,1)|

The integral value of real x for which : (5x-1) lt (x+1)^(2) lt (7x-3) is :

Find the value of x for which |(3,x),(x,1)| = |(3,2),(4,1)|

The value of lim_(x rarr oo) (3^(x+1) - 5^(x+1))/(3^(x)-5^(x) is

The values of x satisfying tan ^(-1)(x+3)-tan ^(-1)(x-3)=sin ^(-1)((3)/(5)) are

The greatest value of f(x)=(x+1)^(1//3)-(x-1)^(1//3) on [0, 1] is :

Find the values of 'a' for which -3<(x^2+ax-2)/(x^2+x+1)<2 is valid for all real x.

MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  2. If f (x) = x - [x], x (ne 0 ) in R, where [x] is the greatest integer ...

    Text Solution

    |

  3. The real values of x for which 3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x)...

    Text Solution

    |

  4. If the ratio of the roots of a(1)x^(2) + b(1) x + c(1) = 0 be equal ...

    Text Solution

    |

  5. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

  6. If a + b + c = 0, then x^((a^(2))/(bc)), x^((b^(2))/(ca)) , x((c^(2))/...

    Text Solution

    |

  7. The equation ax^(2) + bx + c = 0 , where a, b,c are real number conne...

    Text Solution

    |

  8. If 3p^(2) = 5p + 2 and 3q^(2) = 5q + 2, where p ne q , then the equati...

    Text Solution

    |

  9. If P(x) = ax^(2) + bx + c and Q(x) = -ax^(2) + dx + c, where ac ne 0 ...

    Text Solution

    |

  10. If one root of the ax^(2) + bx + c = 0 is equal to nth power of the o...

    Text Solution

    |

  11. The number of real solutions of the equation : | x^(2) + 4x + 3 | + ...

    Text Solution

    |

  12. Let p, p ne { 1,2,3,4}. The number of equations of the form px^(2) + q...

    Text Solution

    |

  13. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

    Text Solution

    |

  14. If alpha and beta be the roots of the equation x^(2) + 7x + 12 = 0. T...

    Text Solution

    |

  15. If the ratio of the equation x^(2) + qx + r = 0 , is the same as that ...

    Text Solution

    |

  16. If (1 + 2i) is a root of the equation x^(2) + bx + c = 0 . Where b and...

    Text Solution

    |

  17. The non-trival values of (a,b) such that roots of the equation x^(2) +...

    Text Solution

    |

  18. The number of values of 'k' for which the equation x^(2) - 3x + k = 0 ...

    Text Solution

    |

  19. If the roots of the equation (x^(2) -bx)/(ax - c) = (lambda - 1)/(lamb...

    Text Solution

    |

  20. If b gta, then the equation (x -a)(x - b) - 1 = 0 has :

    Text Solution

    |