Home
Class 12
MATHS
The minimum value of 2log10x-logx0.01. x...

The minimum value of `2log_10x-log_x0.01. xgt1`, is

A

1

B

`(-1)`

C

`2`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

The minimum value of log_ax+log_xa,0ltxlta, is

For 0ltaltx , the minimum value of function log_a"" x+log_x a is 2.

If xgt0,ygt0 and x+y=1, then find the minimum value of x log x + y log y.

The maximum value of (1/x)^x, xgt0 is

The least value of the expression 2(log)_(10)x-(log)_x(0.01)dot for x >1 is

The least value of the expression 2(log)_(10)x-(log)_x(0. 01),forx >1, is a. 10 b. 2 c. -0.01 d. none of these

The global maximum value of f(x)=(log)_(10)(4x^3-12 x^2+11 x-3),x in [2,3], is -3/2(log)_(10)3 (b) 1+(log)_(10)3 c) (log)_(10)3 (d) 3/2(log)_(10)3

Select the correct answer (MCQ) : (iv) The least value of the quantity 2log_(10)(x) - log_(x)(0.01)[x > 1] =

The number of solutions of the equation log_(x+1)(x-0.5)=log_(x-0.5)(x+1) is

The value of x satisfying x+log_10(1+2^x)=x log_10 5+log_10 6 is

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. The value of a for which the functionf(x)=asinx+1/3sin3x has an extrem...

    Text Solution

    |

  2. xgt0,ygt0 and x+y=1. The minimum value of xlogx+ylogy is

    Text Solution

    |

  3. The minimum value of 2log10x-logx0.01. xgt1, is

    Text Solution

    |

  4. The maximum slope of the curve y=-x^3+3x^2+2x-27 is

    Text Solution

    |

  5. For the function f(x)=xe^x, the point

    Text Solution

    |

  6. The minimum value of logax+logxa,0ltxlta, is

    Text Solution

    |

  7. The sides of the rectangle of the greatest area, that can be inscribed...

    Text Solution

    |

  8. Tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the mi...

    Text Solution

    |

  9. The tangent to the curve y=e^x drawn at the point (c,e^c) intersects t...

    Text Solution

    |

  10. The curves x^2/a+y^2/b=1and x^2/a1+y^2/b1=1 will cut orthogonally if ...

    Text Solution

    |

  11. If the tangent to the curve 2y^3=ax^2+x^3 at the point (a,a) cuts off ...

    Text Solution

    |

  12. The normal to the curve x=a(costheta+thetasintheta),y=a(sintheta-theta...

    Text Solution

    |

  13. The distance between the origin and the normal to the curve y=e^(2x)+x...

    Text Solution

    |

  14. Let g(x)={(2e,if,xle1),(log(x-1),if,xgt1):} The equation of the normal...

    Text Solution

    |

  15. The intercepts on x-axis made by tangents to the curve, oversetxunders...

    Text Solution

    |

  16. The Rolle's thorem is applicable in the interval -1lexle1 for the func...

    Text Solution

    |

  17. A value of 'c' for which the conclusion of mean value theorem holds fo...

    Text Solution

    |

  18. A value of ‘c’ for which conclusion of Mean Value Theorem holds for th...

    Text Solution

    |

  19. If f(x)=x^3+bx^2+cx+d and 0ltb^2ltc then in (-oo,oo)

    Text Solution

    |

  20. If f is a twice differentiable function such that f''(x)=-f(x),f'(x)=g...

    Text Solution

    |