Home
Class 12
MATHS
If log(x)a,a^(x//2) and log(b)x are in G...

If `log_(x)a,a^(x//2)` and `log_(b)x` are in G.P., then x equals `:`

A

`log_(a) ( log_(b)a)`

B

`-log_(a) ( log_(a)^(b))`

C

`log_(a) ( log_(e )^(b))-log_(a) ( log_(c )^(a))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

If 1,(1)/(2) log_(3)(3^(1-x)+2),log_(3)(4.3^(x)-1) are in A.P., then x equals :

If log_(3) 2, log_(3) ( 2^(x) - 5) and log_(3) ( 2^(x) - ( 7)/( 2)) are in A.P., then x is equal to :

If log 2, log ( 2^(x) - 1) and log ( 2^(x) + 3) are in A.P., then 2, 2^(x) -1 , 2^(x) + 3 are in :

Prove log_(x)b^(x)=x

If f(x) = log |x|, x ne 0 then f^(')(x) equals

If the 6th term in the expansion of ((1)/(x^(8//3))+x^(2)log_(10)x)^(8) is 5600, then x equals:

int log x dx is equal to :

10^(log_p(log_q(log_r(x))))=1 and log_q(log_r(log_p(x)))=0 , then 'p' is equals

If (4)^(log_(9) 3)+(9)^(log_(2) 4)=(10)^(log_(x) 83) , then x is equal to

If log_(2) (9^(x - 1) + 7) - log_(2) (3^(x-1) + 1) = 2 , then values of x are

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. If sum(r=1)^(prop) t(r ) = ( n (n +1) ( n + 2) ( n + 3))/( 8 ) , wher...

    Text Solution

    |

  2. sum(i=1)^(n) sum(j=1)^(i)sum(k=1)^(j) 1 equals :

    Text Solution

    |

  3. If log(x)a,a^(x//2) and log(b)x are in G.P., then x equals :

    Text Solution

    |

  4. If x,y,z are in A.P. and tan^(-1)x , tan^(-1)y and tan^(-1) z are als...

    Text Solution

    |

  5. If P,Q,R be the A.M., G.M., H.M. respectively between any two rational...

    Text Solution

    |

  6. Let S = ( 8 ) /( 5) + ( 16)/( 65) +"...." + ( 128)/( 2^(18) + 1) , th...

    Text Solution

    |

  7. The sides a,b,c of Delta ABC are in G.P. , where log a - log 2b, log ...

    Text Solution

    |

  8. Let alpha, beta be the roots of x^(2) -x + p = 0 and gamma , delta b...

    Text Solution

    |

  9. If the sum of the first 2n terms of the A.P. 2,5,8,"……….." is equal to...

    Text Solution

    |

  10. The first term of a G. P. is 1. The sum of the third and fifth terms i...

    Text Solution

    |

  11. Suppose a,b,c are in A.P. and a^(2) , b^(2) , c^(2) are in G.P. If a ...

    Text Solution

    |

  12. If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equ...

    Text Solution

    |

  13. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

    Text Solution

    |

  14. The sum of first n terms of the series 1^(2) + 2.2^(2) +3^(2) + 2. 4...

    Text Solution

    |

  15. If s= sum(n=0)^(oo) a^(n) , y = sum(n=0)^(oo) b^(n) , z= sum (n=0)^(oo...

    Text Solution

    |

  16. If alpha, beta are roots of ax^(2) + bx + c =0 , a cancel(=) 0 and alp...

    Text Solution

    |

  17. Let a(1) , a(2) , a(3) , "……………" be terms of an A.P. If (a(1) + a(2) +...

    Text Solution

    |

  18. If a(r ) gt 0, r in N and a(1), a(2) , a(3) ,"……..",a(2n) are in A.P....

    Text Solution

    |

  19. Let x,y,z be three positive prime numbers. The progression in which sq...

    Text Solution

    |

  20. If x = sum(n=0)^(oo) a^(n) .,y=sum(n=0)^(oo) b^(n) , z = sum(n=0)^(oo)...

    Text Solution

    |