Home
Class 11
MATHS
If 0 < 1 < 1 and x > y > 0 then loga^x <...

If 0 < 1 < 1 and x > y > 0 then `log_a^x < log_a^y` (write true or false)

Promotional Banner

Topper's Solved these Questions

  • Model Test Set - 8

    UNITED BOOK HOUSE|Exercise Exercise |46 Videos
  • Model Test Set -3

    UNITED BOOK HOUSE|Exercise Exercise|43 Videos

Similar Questions

Explore conceptually related problems

If x gt 0 , y gt 0 , z gt 0 , the least value of x^(log_(e)y-log_(e)z)+y^(log_(e)z-log_(e)x)+Z^(log_(e)x-log_(e)y) is

Find the particular solution of the differential equations log ((dy)/(dx)) = 3x + 4y given that y = 0 when x = 0.

Find dy/dx , when x log x + y log y + xy - 5x + 2y + 3 = 0

For a >0,!=1, the roots of the equation (log)_(a x)a+(log)_x a^2+(log)_(a^2x)a^3=0 are given

If x, y and z be greater than 1, then the value of |(1,log_(x)y,log_(x)z),(log_(y)x,1,log_(y)z),(log_(z)x,log_(z)y,1)| is

If log((x+y)/5) = 1/2 (log x + log y) , then show that x/y + y/x = 23 .

If |(y,x,0),(0,y,x),(x,0,y)|=0 and x ne 0 , then which one of the following is correct ?

If x,y,z are in G.P prove that log_(a)^(x)+log_(a)^(z)=(2)/(log_(y)^(a)),[x,y,a gt0]

Find the area bounded by (a) y = (log)_e|x|a n dy=0 (b) y=|(log)_e|x||a n dy=0

If y= 3 cos (log x)+4 sin(log x) , show that x^(2)y_(2)+xy_(1)+y=0 .

UNITED BOOK HOUSE-Model Test Set - 9-Exercise
  1. If Deltax = 1, the Delta(5x^2) =

    Text Solution

    |

  2. When (x^5 - 1) is divided by (2x + 1), then the remainder is

    Text Solution

    |

  3. If 0 < 1 < 1 and x > y > 0 then loga^x < loga^y (write true or false)

    Text Solution

    |

  4. If a equiv b (mod n), then a^3 equiv b^3 (mod n) (write true or false)...

    Text Solution

    |

  5. The probability of drawing any one spade card from a pack of card is

    Text Solution

    |

  6. A single letter is selected at random from the word probability. The p...

    Text Solution

    |

  7. Let x be a variable assuming values x1, x2,…….xn state the condition w...

    Text Solution

    |

  8. If the value of a variable are 4, 4, 3, 3, 4, 1, 2 then find the value...

    Text Solution

    |

  9. If wrong correct the statement: mode can be obtained from ogive

    Text Solution

    |

  10. If x=5 find the value of the algebraic expressions: x^3+8.

    Text Solution

    |

  11. If all the values of a variable are equal to 7 then what is its varian...

    Text Solution

    |

  12. P(A) = 1/2, P(B) = 2/3, what will be the least value of P(A nn B).

    Text Solution

    |

  13. A-set contains 4 elements. It’s power set will contain element.

    Text Solution

    |

  14. Draw venn diagram to represent the following set : (A cup B)-C.

    Text Solution

    |

  15. Draw Venn diagram to represent the following sets A B^c

    Text Solution

    |

  16. Let A and B be two events such that P(A) = 0.3 and P(A cup B) = 0.8. I...

    Text Solution

    |

  17. Discuss about different sources of data on vital events.

    Text Solution

    |

  18. What do you mean by Broca's Index?

    Text Solution

    |

  19. Find the variance of the following observations : 30, 40, 50, 60, 70.

    Text Solution

    |

  20. Let there be two sets of observations. The first set contains 10 obser...

    Text Solution

    |