Home
Class 12
MATHS
If log3 2, log3 (2^x -5) and log3 (2^x-7...

If `log_3 2, log_3 (2^x -5)` and `log_3 (2^x-7/2)` are in `A.P`, determine the value of `x`.

A

7

B

3

C

4,5

D

8

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL -2 (SINGLE CORRECT ANSWER TYPE QUESTIONS)|12 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES LEVEL (Numerical Answer Type Questions)|21 Videos
  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos
  • PROBABILITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Papers|21 Videos
  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

Similar Questions

Explore conceptually related problems

If log_(3)(2),log_(3)(2^(x)-5),log_(3)(2^(x)-(7)/(2)) are in A.P.Determine the value of x.

log_3 2 ,log_3(2^x-5) , log_3(2^x-7/2) are in A.P. then the value of x =?

If log_(5)2,log_(5)(2^(x)-3) and log_(5)((17)/(2)+2^(x-1)) are in AP, then the value of x is

If log_3 2+log_3 (2^x-7/2)=2log_3 (2^x-5) then x=

MCGROW HILL PUBLICATION-PROGRESSIONS-SOLVED EXAMPLES LEVEL -1 (SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. in a geometric progression consisting of positive terms, each term eq...

    Text Solution

    |

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

    Text Solution

    |

  3. If log3 2, log3 (2^x -5) and log3 (2^x-7/2) are in A.P, determine the ...

    Text Solution

    |

  4. Sum of the series underset(r=1)overset(n)Sigmarlog((r+1)/(r)) is

    Text Solution

    |

  5. Let a ,b be positive real numbers. If a A1, A2, b be are in arithmetic...

    Text Solution

    |

  6. Sum of the series S(n) =(n) (n) + (n-1) (n+1) + (n-2) (n+2) + …+ 1(2n-...

    Text Solution

    |

  7. Suppose for each n in N, 1^(4)+2^(4)+3^(4)+….+n^(4)=an^(5)+bn^(4)+cn^(...

    Text Solution

    |

  8. Value of S=2012+(1)/(3)(2011+(1)/(3)(2010+(1)/(3)(2009+(1)/(3)(2+(1)/(...

    Text Solution

    |

  9. Suppose a,b,c are positive real numbers satisfying the system of equat...

    Text Solution

    |

  10. Suppose a,b,c are distinct positive real numbers such that a,2b,3c are...

    Text Solution

    |

  11. Let Sn denote the sum of the cubes of the first n natural numbers and ...

    Text Solution

    |

  12. 1+2/3+6/(3^2)+10/(3^3)+14/(3^4)+

    Text Solution

    |

  13. Simplify P=1/(2sqrt(1)+sqrt(2))+1/(3sqrt(2)+2sqrt(3))+....+1/(100sqrt...

    Text Solution

    |

  14. sqrt(2sqrt(2sqrt(2sqrt(2....))))=

    Text Solution

    |

  15. Let [x] denote the greatest integer less than or equal to x, what is t...

    Text Solution

    |

  16. A person is to cout 4500 currency notes. Let a(n) denotes the number o...

    Text Solution

    |

  17. A man saves Rs. 200 in each of the first three months of his service. ...

    Text Solution

    |

  18. Let an be the n^(t h) term of an A.P. If sum(r=1)^(100)a(2r)=alpha&su...

    Text Solution

    |

  19. If m times the mth term of an A.P. with non-zero common difference equ...

    Text Solution

    |

  20. If a(1),a(2),a(3),"......" be in harmonic progression with a(1)=5 and ...

    Text Solution

    |