Home
Class 14
MATHS
prove that x^(logy-logz).y^(logz-logx).z...

prove that `x^(logy-logz).y^(logz-logx).z^(logx-logy)=1`

Text Solution

Verified by Experts

The correct Answer is:
P=1
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE- 16.1|66 Videos

  • LOGARITHM

    ARIHANT SSC|Exercise EXERCISE LEVEL 1|50 Videos

  • LINEAR EQUATIONS

    ARIHANT SSC|Exercise Higher Skill Level Questions|7 Videos

  • MENSURATION

    ARIHANT SSC|Exercise TEST OF YOUR LEARNING|18 Videos

Similar Questions

Explore conceptually related problems

If x>0, y>0, z>0 , prove that x^(logy-logz)+y^(logz-logx)+z^(logx-logy)ge3 .

The value of x^((logy-logz))xx y^((logz - logx)) xx z^((log x- logy)) is equal to

y=x^(logx)+(logx)^(x)

y=(logx)^(x)

"If "y=a^(x^(a^(x...oo)))", prove that "(dy)/(dx)=(y^(2)(logy))/(x[1-y(logx)(logy)]).

Solve: x dy/dx=y(logy-logx+1)

If y^(x)=e^(y-x) , then prove that (dy)/(dx) = ((1+logy)^(2))/(logy)

ARIHANT SSC-LOGARITHM -EXERCISE LEVEL 2
  1. prove that x^(logy-logz).y^(logz-logx).z^(logx-logy)=1

    Text Solution

    |

  2. Find the sum of 'n' terms of the series. log(2)(x/y) + log(4)(x/y)^(...

    Text Solution

    |

  3. Find the value of log m + logm^(2) + log m^(3) +……. + log m^(n):

    Text Solution

    |

  4. The greatest possible value of n could be if 9^(n)lt10^(8), given tha...

    Text Solution

    |

  5. The set of solution for all x satisfying the equation x^(log 3 x^(2...

    Text Solution

    |

  6. The set of all the solution of the inequality log(2-x) (x-3) ge 1 is :

    Text Solution

    |

  7. If log(3)30 =1/a and log(5) 30 = 1/b then the value of 3 log(30)2 is:

    Text Solution

    |

  8. Number of ways in which 20 different pearls of two colours can be set ...

    Text Solution

    |

  9. The number of solutions of the expression satisfying 4^(x^(2)+2)-9.2^(...

    Text Solution

    |

  10. Six teachers and six students have to sit round a circular table such ...

    Text Solution

    |

  11. The number of different words which can be formed from the letters of ...

    Text Solution

    |

  12. If a denotes the number of permutation of x+2 things taken all at a ti...

    Text Solution

    |

  13. The set S={1,2,3,...,12} is to be partitioned into three sets, A, B, C...

    Text Solution

    |

  14. The number of solutions of the equation log(x//2)x^(2) + 40 log(4x)...

    Text Solution

    |

  15. Ravish writes letters to his five friends and addresses the correspond...

    Text Solution

    |

  16. f:{1,2,3,4,5}→{1,2,3,4,5} that are onto and f(i)≠i, is equal to

    Text Solution

    |

  17. The least value of expression 2 log(10)x - log(x) (1//100) for x gt 1 ...

    Text Solution

    |

  18. The equation x^((3//4) (log(2)x)^(2) + log(2)x - (5//4)) = sqrt(2) has...

    Text Solution

    |

  19. From 6 different novels and 3 different dictionaries, 4 novels and 1 d...

    Text Solution

    |

  20. Find all real values of x satisfying equation: |x-1|^(log x^(2) - 2 ...

    Text Solution

    |