Home
Class 12
MATHS
If logx, logsqrt(6-2x), log(x-1) are in ...

If `logx, logsqrt(6-2x), log(x-1)` are in A.P .then value of `(x)/(3)` is

Text Solution

Verified by Experts

The correct Answer is:
`0.66 or 0.67`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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 .

If log ((x+y)/3)=1/2 (log x +log y) then find the value of x/y+y/x

If log_2 log_3 log_4 (x+1) =0, then x is :-

If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is

Suppose 3 sin ^(-1) ( log _(2) x ) + cos^(-1) ( log _(2) y) =pi //2 " and " sin^(-1) ( log _(2) x ) + 2 cos^(-1) ( log_(2) y) = 11 pi//6 , then the value of x^(-2) + y^(-2) equals

If x , y , z are in A.P. , then the value of the determinant are in A.P. , then the value of the determinant |a+2a+3a+2x a+3a+4a+2y a+4a+5a+2z| is a. 1 b. 0 c. 2a d. a

Prove the followings : If 0ltxlt1andtan^(-1)(1-x),tan^(-1)xandtan^(-1)(1+x) are in A.P. then prove that x^(3)+x^(2)=1 .

The probability function of the binomial distribution is P(x)= ((6), (x))p^(x)q^(6-x), x= 0, 1, 2, ....., 6. If 2P(2) = 3P(3) then value of q is ……….

If the 3^(rd) term in expansion (x+x^(log)10^(x))^(5) " is " 10^(6) then the value of x is ………..

if f(x)=(9/(log_2 (3-2x))-1)^(1/3) then the value of a which satisfies f^-1(2a-4)=1/2 is

ALLEN -TEST PAPER-MATHS
  1. Sum of maximum and minimum values of f(x) is

    Text Solution

    |

  2. Complete set of values of g(x) is

    Text Solution

    |

  3. If logx, logsqrt(6-2x), log(x-1) are in A.P .then value of (x)/(3) is

    Text Solution

    |

  4. The value of (sin 12^(@) . sin 24^(@) sin 48^(@). sin84^(@)) is

    Text Solution

    |

  5. The sum of n terms of an A.P is 715 .If first term is increased by 1, ...

    Text Solution

    |

  6. The value of k for which equations x^(2)+(2k-6)x+7-3k=0 and x^(2)+(2k-...

    Text Solution

    |

  7. If E= ab sin x+bsqrt(1-a^(2)) cos x+c " where" |a|lt 1" and for " a =(...

    Text Solution

    |

  8. The least integral value of lambda for which the expression (lambdax^(...

    Text Solution

    |

  9. If alpha,beta,gamma are roots of x^(3)-5x+4=0 then value of (alpha^3+b...

    Text Solution

    |

  10. The value of | sum(r=0)^(10) cos ((rpi)/(3))|is

    Text Solution

    |

  11. |{:(,"List-I(Species)",,"List-II(Spin only Magnetic Moment)"),((P),Mn^...

    Text Solution

    |

  12. |{:(,"List-I(Atom/Ions)",,"List-II(Electron Affinity in eV/atom and co...

    Text Solution

    |

  13. |{:(,"List-I(Orbitals)",,"List-II"),(,"(Approach axis is z-axis)",,"(T...

    Text Solution

    |

  14. |{:(,"List-I",,"List-II"),((P),Na^(+)gt K^(+)gt Rb^(+),(1),"Ionic mobi...

    Text Solution

    |

  15. If p, q, r are prime numbers such that p^(2)-q^(2)=r then which of the...

    Text Solution

    |

  16. ABCD is a square and E is mid point of AD. If area of square is given ...

    Text Solution

    |

  17. If x=7+sqrt(48) then which of the following quantities is rational ?

    Text Solution

    |

  18. If x(1) and x(2) are the two values of x satisfying equation 3^((log(3...

    Text Solution

    |

  19. If x^(3)+y^(3)+3xy=1 where x and y are to distinct real numbers then w...

    Text Solution

    |

  20. Which of the following values of a and b will make a(sin^(6)theta+cos^...

    Text Solution

    |