Home
Class 11
MATHS
if a ,b ,c are in G.P.,then (log)a 10...

if `a ,b ,c` are in G.P.,then `(log)_a 10 ,(log)_b10,(log)_c 10` are in____

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|9 Videos

  • STRAIGHT LINES

    CENGAGE ENGLISH|Exercise All Questions|491 Videos

Similar Questions

Explore conceptually related problems

If a, b, c are in G.P, then log_a x, log_b x, log_c x are in

If a, b, c are in G.P, then log_a x, log_b x, log_c x are in

If a,b,c are in G.P., prove that: log_ax,log_bx,log_cx are in H.P.

If a ,\ b ,\ c are in G.P. prove that 1/((log)_a m),1/((log)_b m),1/((log)_c m) are in A.P.

If a,b and c are in G.P., prove that log a, log b and log c are in A.P.

There distinct positive numbers, a,b,c are in G.P. while log _(c) a, log _(b) c, log _(a) b are in A.P. with non-zero common difference d, then 2d=

Prove that ((log)_a N)/((log)_(a b)N)=1+(log)_a b

log_10⁡ a + log_10 ⁡b = log_10⁡ (a+b)

If a ,b ,c ,d in R^+-{1}, then the minimum value of (log)_d a+(log)_b d+(log)_a c+(log)_c b is (a) 4 (b) 2 (c) 1 (d)none of these

a, b, c are sides of a triangle and a, b, c are in GP If log a- log 2b, log 2b-log 3c and log 3c-log a are in AP then

CENGAGE ENGLISH-SEQUENCES AND SERIES-All Questions
  1. Match the statements/expressions given in Column 1 with the values ...

    Text Solution

    |

  2. Let Sn=sum(k=1)^(4n)(-1)(k(k+1))/2k^2dot Then Sn can take value (s) 10...

    Text Solution

    |

  3. if a ,b ,c are in G.P.,then (log)a 10 ,(log)b10,(log)c 10 are in

    Text Solution

    |

  4. The 15th term of the series 2 1/2+1 7/(13)+1 1/9+(20)/(23)+ i s (10)/...

    Text Solution

    |

  5. Let a1, a2, a3, ,a(11) be real numbers satisfying a1=15 , 27-2a2>0 a ...

    Text Solution

    |

  6. Statement 1: Coefficient of x^(14) in (1+2x+3x^2+....+16 x^(15))^2 is ...

    Text Solution

    |

  7. If x^2+9y^2+25 z^2=x y z((15)/x+5/y+3/z), then x ,y ,a n dz are in a...

    Text Solution

    |

  8. Statement 1: x=1111....1 of 91 times of is a composite number.

    Text Solution

    |

  9. Statement 1: If an infinite G.P. has 2nd term x and its sum is 4, then...

    Text Solution

    |

  10. Statement 1: Sum of the series 1^3-2^3+3^3-4^3++11^3=378. - Statement ...

    Text Solution

    |

  11. Statement 1: 1^(99)+2^(99)++100^(99) is divisible by 10100. Statement ...

    Text Solution

    |

  12. Let p1,p2,...,pn and x be distinct real number such that (sum(r=1)^(n...

    Text Solution

    |

  13. If Sn denote the sum of first n terms of an A.P. whose first term is a...

    Text Solution

    |

  14. If a1, a2, a3, be terms of an A.P. and (a1+a2+.....+ap)/(a1+a2+.....+...

    Text Solution

    |

  15. Consider an A.P. a1, a2, a3,......... such that a3+a5+a8=11 and a4+a2...

    Text Solution

    |

  16. If the sum of n terms of an A.P is cn (n-1) where c ne 0 then find the...

    Text Solution

    |

  17. If |a|<1a n d|b|<1, then the sum of the series 1+(1+a)b+(1+a+a^2)b^2+(...

    Text Solution

    |

  18. Let n in N ,n > 25. Let A ,G ,H deonote te arithmetic mean, geometric...

    Text Solution

    |

  19. If a1, a2, a3(a1>0) are three successive terms of a G.P. with common r...

    Text Solution

    |

  20. Three numbers form an increasing G.P. If the middle number is doubled,...

    Text Solution

    |