Home
Class 12
MATHS
True or False statements: There is a u...

True or False statements:
There is a unique real number x > 0 such that `(1/4)^x = x = log_(1//4^x)`

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    PRADEEP PUBLICATION|Exercise EXERCISE|502 Videos

  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos

Similar Questions

Explore conceptually related problems

State the negations for the following statements : There is no real number x, such that x^2 = -1 .

Stale the negations for the following statement : There is no real number x, such that sqrt x =-1

True or False statements: For x in (0, pi/2) , sin x lt x lt tan x .

True or False statements: Maximum value of the function f(x) = sin^4 x + cos^4 x is 2 .

True or False statements: Tangent to the curve y = x^2 at x = 0 is parallel to the x-axis.

True or False statements: The function f(X) = log_(1//4) x is strict increasing on (0, infty)

True or False statements : cot(cos^-1 x) = x/(sqrt(1-x^2) for |x| le 1

True or False statements: The function f(x) = 1/3 x^3 - x is strictly decreasing on (-1,1)

True or False statements: Maximum value of the function f(x) = 3 sin x + 4 cos x, x in R is 5 .

State whether the following statement is true or false: For any real number x, 4x + x = 5x.

PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. True or False statements: The angle between the tangents to the curv...

    Text Solution

    |

  2. True or False statements: For x in (0, pi/2), sin x lt x lt tan x.

    Text Solution

    |

  3. True or False statements: There is a unique real number x > 0 such t...

    Text Solution

    |

  4. True or False statements : If and B are invertible matrices such tha...

    Text Solution

    |

  5. Statement I :Among all the rectangles of the given perimeter, the squa...

    Text Solution

    |

  6. True or False statements: Of all rectangles of a given area, square ...

    Text Solution

    |

  7. Find x+y+z

    Text Solution

    |

  8. Find the rate of change of the area of a circle per second with respec...

    Text Solution

    |

  9. The volume of a cube is increasing at the rate of 9 cm^3//sec. The rat...

    Text Solution

    |

  10. A stone is dropped into a quiet lake and waves move in circles at a sp...

    Text Solution

    |

  11. The length x of a rectangle is decreasing at the rate of 3 cm/sec and ...

    Text Solution

    |

  12. The total revenue Rs. R received form the sale of x units of a product...

    Text Solution

    |

  13. The sides of an equilateral triangle are increasing at the rate of 2 c...

    Text Solution

    |

  14. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

    Text Solution

    |

  15. On R, the function f(x) = 7x - 3 is

    Text Solution

    |

  16. The function f (x) = 2-3 x is

    Text Solution

    |

  17. y=x(x-3)^(2) decreases for the values of x given by :

    Text Solution

    |

  18. The function tan x - x , - pi/2 < x < pi/2

    Text Solution

    |

  19. The function f(x) = x^2, for all real x is

    Text Solution

    |

  20. The function f(x) = x^2 - 4x + 6 is

    Text Solution

    |