Home
Class 12
MATHS
If log(5) 2, log(5) (2^(x)-5 ) log(5) (2...

If `log_(5) 2, log_(5) (2^(x)-5 ) log_(5) (2^(x) - 7//2) ` are in A.P ., then x =

A

1/2 or 3/2

B

3

C

4 or 5

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

  • SETS ( APPENDIX - 1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE|70 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_(10)2, log_(10) (2^(x)-1) and log_(10) (2^(x) + 3) are three consecutive terms of an A.P for

If 1, log_(y) x, log_(z) y , - 15 log_(x) z are in A.P ., then

Suppose a, b, c are positive resl numbers different from 1. If log_(a) 100, 2 log_(b) 10, 2 log_(c) 5 + log_(c) 4 are in H.P., then a, b , c are in

Lt_(x to 1)(log_(5)5x)^(log_(x)5)=

If x gt 0, and log_(2) + log_(2)(sqrt(x)) + log_(2) (4sqrt(x)) + log_(2) ( 8sqrt(x)) + log_(2) (16sqrt(x)) + ….. = 4 then x =

If a,b,c are in G.P where a,b,c are positive numbers and "log"(5c)/(a), "log" (3b)/(5c) and "log" (a)/(3b) are in A.P then the triangle whose sides are a,b, c is

If f(x)=log(x-5)(2-x), g(x)=log(x-5), h(x)=log(2-x) then

If log_(2)sinx-log_(2)cosx-log_(2)(1-tan^(2)x)=-1 then x =

DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If the length of sides of right angled triangle are in A.P., then the ...

    Text Solution

    |

  2. If three positive real numbers a,b, c are in A.P such that abc = 4, th...

    Text Solution

    |

  3. If log(5) 2, log(5) (2^(x)-5 ) log(5) (2^(x) - 7//2) are in A.P ., th...

    Text Solution

    |

  4. If a(1),a(2),a(3),………. are in A.P. such that a(1) + a(5) + a(10) + a(1...

    Text Solution

    |

  5. Four numbers are in arithmetic progression. The sum of first and last ...

    Text Solution

    |

  6. The ratio of the sums of m arithmatic means and n arithmatic means bet...

    Text Solution

    |

  7. Between 1 and 31 are inserted m arithmetic means, so that the ratio of...

    Text Solution

    |

  8. If a(1), a(2) ……… a(n) are in A.P with common difference d ne 0, then ...

    Text Solution

    |

  9. Value of underset(n rarr infty )(Lim) sum(r = 1)^(n) Tan^(-1) ((1)/(2r...

    Text Solution

    |

  10. Given that n A.M.s are inserted between two sets of numbers a , 2b and...

    Text Solution

    |

  11. If pth, qth, rth terms of an A.P are a,b,c then a(q - r ) + b(r - p ) ...

    Text Solution

    |

  12. If mth terms of an A.P . Is n and nth term is m, then (m + n)th term i...

    Text Solution

    |

  13. If the mth term of an A.P is n and nth term is m , then pth term =

    Text Solution

    |

  14. If 100 times the 100^(th) term of an A.P with non zero common differen...

    Text Solution

    |

  15. If the sum of m terms of an A.P, is equal to the sum of n terms of the...

    Text Solution

    |

  16. If a(1), a(2) …… a(n) are in A.P then (sqrt(a(1)) + sqrt(a(n)))/( sqrt...

    Text Solution

    |

  17. If the ratio of sum of n terms in two A.P' s is 2n : n + 1, then the ...

    Text Solution

    |

  18. The sum of n terms in two A.P's are in the ratio 3n + 1 : n + 4 , then...

    Text Solution

    |

  19. If S(n) danotes the sum of n terms of n terms of an A.P. then S(n + 3)...

    Text Solution

    |

  20. The first term of an A.P of consecutive integers is p^(2) + 1 . The su...

    Text Solution

    |