Home
Class 12
MATHS
lf logpq+logq r +logr p vanishes where p...

lf `log_pq+log_q r +log_r p` vanishes where p, q and r are positive reals different than unity then the value ol `(log_p q)^3+(logq_r)^3+(logr_p)^3` is a) an odd prime b)an even prime c)an odd coposite d) an irrational number

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If log_(p)q+log_(q)r+log_(r)p vanishes where p,q and r are positive reals different than unity then the value ol (log_(p)q)^(3)+(log q_(r))^(3)+(log r_(p))^(3) is a) an odd prime b)an even prime c)an odd coposite d) an irrational number

If log_p(q)+log_q(r)+log_r(p) vanishes where p,q,r are positive reals different than unity then the value of (log_p(q))^3+(log_q(r))^3+(log_r(p))^3

If log_(a)b+log_(b)c+log_(c)a vanishes where a, b and c are positive reals different than unity then the value of (log_(a)b)^(3) + (log_(b)c)^(3) + (log_(c)a)^(3) is

If p and q are positive numbers other than 1, then the least value of |log_(q)p+log_(p)q| is ______.

If p and r are positive real numbers,then the quantity (p+r)/(q+r) is

If pqr = 1 then find the value of log_(rq)p+log_(rp)q+log_(pq)r .

If p,q,r be three distinct real numbers, then the value of (p+q)(q+r)(r+p), is

ALLEN-LOGARITHMS-All Questions
  1. 9. The expression, log log..../p where p 9. The expression, log, log, ...

    Text Solution

    |

  2. Which of the following numbers are positive? a.(log)(log3 2)(1/2) b. ...

    Text Solution

    |

  3. lf logpq+logq r +logr p vanishes where p, q and r are positive reals d...

    Text Solution

    |

  4. The solution set of the system of equations log12 x(1/(logx 2)+log2 y)...

    Text Solution

    |

  5. If x1and \ x2 are the solution of the equation x^(3log10^3x-2/3log(10)...

    Text Solution

    |

  6. If a^x=b , b^y=c ,c^z=a and x=(log)b a^2; y=(log)c b^3& z=(log)a c^k ...

    Text Solution

    |

  7. If (log)k xdot(log)5k=(log)x5,k!=1,k >0, then x is equal to k (b) 1/5...

    Text Solution

    |

  8. If x^3//4((log)3x)^(2+(log)3x-5//4)=3,\ t h e n\ x has- a. one positiv...

    Text Solution

    |

  9. ((log)(10)(x-3))/((log)(10)(x^2-21))=1/2

    Text Solution

    |

  10. x^((log2 x)+4)=32

    Text Solution

    |

  11. where the base of logarithm is

    Text Solution

    |

  12. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

    Text Solution

    |

  13. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  14. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  15. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

    Text Solution

    |

  16. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

    Text Solution

    |

  17. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

    Text Solution

    |

  18. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

    Text Solution

    |

  19. Comprehension 2 In comparison of two numbers, logarithm of small...

    Text Solution

    |

  20. Comprehension 2 In comparison of two numbers, logarithm of small...

    Text Solution

    |