Home
Class 12
MATHS
If p , q in N satisfy the equation x^s...

If `p , q in N` satisfy the equation `x^sqrt(x)=(sqrt(x))^x,` then `pa n dq` are (a)relatively prime (b) twin prime (c) coprime (d)if `(log)_q p` is defined, then `(log)_p q` is not and vice versa

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x) , then

If p,q varepsilon N satisfy the equation x^(sqrt(x)=(sqrt(x))^(x)) then p&q are

If log_(p)pq = x , then log_(q) pq = ______.

sqrt(x^(p-q))sqrt(x^(q-r))sqrt(x^(r-p))=1

In the equation (x-p)/(q)+(x-q)/(p)=(q)/(x-p)+(p)/(x-q),x is not equal to

If log_(b)a=3,log_(b)=-4. If the value of x satisfying theequation a^(3x)=c^(x)-1 is expressed in the form (p)/(q), where p and q are relatively prime then p+q is

If p and q are co-prime numbers,then p^(2) and q^(2) are (a) coprime (b) not coprime (c) even (d) odd

Prove that sqrt(p)+sqrt(q) is an irrational,where p and q are primes.

If p,q in N and 0,12=(p)/(q) where p and q are relatively prime then identify which of the following is incorrect

ALLEN-LOGARITHMS-All Questions
  1. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

    Text Solution

    |

  2. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1/...

    Text Solution

    |

  3. If p , q in N satisfy the equation x^sqrt(x)=(sqrt(x))^x, then pa n...

    Text Solution

    |

  4. 9. The expression, log log..../p where p 9. The expression, log, log, ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. where the base of logarithm is

    Text Solution

    |

  15. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |