Home
Class 12
MATHS
If x,y,z are in HP, then log(x+5)+log (x...

If x,y,z are in HP, then `log(x+5)+log (x-2y+z)` is equal to

A

`3 log (x - z)`

B

`2 log (x - z)`

C

`log (x - z)`

D

`4 log (x - z)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (MATCHING ENTRIES) |4 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos

  • PROGRESSIONS

    ML KHANNA|Exercise PROBLEM SET - 5 (FILL IN THE BLANKS) |2 Videos

  • PROBABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE|6 Videos

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Self Assessment Test (Multiple Choise Questions)|34 Videos

Similar Questions

Explore conceptually related problems

If x,y,z are in HP, then log(x+z)+log (x-2y+z) is equal to

If x,y,z are in G.P. then log x , log y, logz, are in

If x,y,z are in HP, then show that log(x+z)+log(x+z-2y)=2 log (x-z)

(i) The value of x + y + z is 15. If a, x, y, z, b are in AP while the value of (1)/(x) + (1)/(y) + (1)/(z) " is " (5)/(3) . If a, x, y, z b are in HP, then find a and b (ii) If x,y,z are in HP, then show that log (x +z) + log (x +z -2y) = 2 log ( x -z) .

If x,y,z are in H.P then the value of expression log(x+z)+log(x-2y+z)=

If x=500,y=100 and z=5050, then the value of (log_(xyz)x^(z))(1+log_(x)yz) is equal to

ML KHANNA-PROGRESSIONS -SELF ASSESSMENT TEST
  1. If the fifth term of a G.P. is 2, then write the product of its 9 t...

    Text Solution

    |

  2. If 1 + sin x + sin^(2) x +.....+ oo = 4 + 2 sqrt(3), 0 lt x lt pi and...

    Text Solution

    |

  3. If x,y,z are in HP, then log(x+5)+log (x-2y+z) is equal to

    Text Solution

    |

  4. If H be the harmonic mean between x and y, then show that (H+x)/(H-x)+...

    Text Solution

    |

  5. In a H.P., p^(th) term is q and q^(th) term is p then pq^(th) term is

    Text Solution

    |

  6. The harmonic mean of (a)/(1 - ab) and (a)/(1 + ab) is

    Text Solution

    |

  7. If b^(2), a^(2), c^(2) are in A.P., then a + b, b + c, c + a will be i...

    Text Solution

    |

  8. If (x + y)/(2), y ,(y + z)/(2) are in H.P., then x, y, z are in

    Text Solution

    |

  9. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

    Text Solution

    |

  10. If a, ,b c, are in G.P., then log(a) n, log(b) n, log(c) n are in

    Text Solution

    |

  11. For all ngeq1, prove that 1/(1. 2)+1/(2. 3)+1/(3. 4)+dotdotdot+1/(n(n+...

    Text Solution

    |

  12. The value of underset(i=1)overset(n)sumunderset(j=1)overset(i)sumunde...

    Text Solution

    |

  13. 11^(3)+12^(3)+13^(3)+………….+20^(3) is

    Text Solution

    |

  14. For any integer n ge 1, the sum sum(k=1)^(n) k (k + 2) is equal to

    Text Solution

    |

  15. Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

    Text Solution

    |

  16. If the sum of first n terms of an AP is cn^(2), then the sum of square...

    Text Solution

    |

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

    Text Solution

    |

  18. If 100 times the 100th term of an AP with non-zero common difference e...

    Text Solution

    |

  19. Let a(1),a(2),a(3), . . . be a harmonic progression with a(1)=5anda(20...

    Text Solution

    |

  20. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

    Text Solution

    |