Home
Class 12
MATHS
If xy^(2) = 4 and log(3) (log(2) x) + lo...

If `xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1` , then x equals

A

4

B

8

C

16

D

64

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 2 (Level -II)|11 Videos
  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 3|47 Videos
  • BASIC MATHEMATIC & LOGARITHM

    MOTION|Exercise Exercise - 1|36 Videos
  • AREA UNDER THE CURVE

    MOTION|Exercise EXERCISE - 4 LEVEL - II|14 Videos
  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

Similar Questions

Explore conceptually related problems

If xy^(2)=4and(log)_(3)((log)_(2)x)+(log)_((1)/(3))((log)_((1)/(2))y)=1 then x equals (a)4(b)8(c)16(d)64

If log_(2)[log_(3)(log_(2)x)]=1 , then x is equal to

If log_(5)[log_(3)(log_(2)x)]=1 , then x is:

If log_(5)[log_(3)(log_(2)x)]=1 then x is

Find the value of x satisfying the equations log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y)=1 and xy^(2)=9

Consider the system of equations log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y) =1 and xy^(2) = 9 . The value of 1/y lies in the interval

Consider the system of equations log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y) =1 and xy^(2) = 9 . The value of x in the interval

If log_(2)(log_(2)(log_(3)x))=log_(3)(log_(3)(log_(2)y))=0 , then x-y is equal to :

MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 2 (Level -I)
  1. The number of real roots of the equation (x - 1)^(2) + (x -2)^(2) + (x...

    Text Solution

    |

  2. If a,b,c are real and distinct nubmer , then the value of ((a -b)^(3) ...

    Text Solution

    |

  3. The polynomials P(x) = kx^(3) + 3x^(2) - 3 and Q(x) = 2x^(3) - 5x + k,...

    Text Solution

    |

  4. If a=log(12)18 and b=log(24)54 then find the value of ab+5(a-b)

    Text Solution

    |

  5. Calculate 7^(log g(3)5) + 3 ^(log(5)7 ) - 5 ^(log(3)7) - 7 ^(log(5)3)

    Text Solution

    |

  6. If 4^A+9^B=10^C ,\ where A=(log)(16)4,\ B=(log)3 9\ &\ C=(log)x 83 th...

    Text Solution

    |

  7. log(3) (log(9)x + 1/2 + 9^(x)) = 2x

    Text Solution

    |

  8. If xy^(2) = 4 and log(3) (log(2) x) + log(1//3) (log(1//2) y)=1 , then...

    Text Solution

    |

  9. If alpha le log (sqrt5) [sqrt2( sin x - cos x) + 3] le beta then

    Text Solution

    |

  10. If 1/2 le log(0.1) x le 2, then

    Text Solution

    |

  11. If log(10) 2 = 0.3010 " and " log(10) 3 = 0.4771, then find the number...

    Text Solution

    |

  12. The number of zeros immediately after the decimal in 3^(-100)

    Text Solution

    |

  13. Given log10 (34.56)=1.5386 find log10 (3.456) ;log10(0.3456) and log10...

    Text Solution

    |

  14. Find the number of positive integers which have the characterstics 3 w...

    Text Solution

    |

  15. If x satisfies |x-1|+|x-2|+|x-3|geq6

    Text Solution

    |

  16. Number of real x satisfying the equation |x -1| = |x - 2| + |x - 3|...

    Text Solution

    |

  17. The number of ordered pairs (x, y) satisfying the equation x - y = (...

    Text Solution

    |

  18. The equation sqrt(1+log(x) sqrt27) log(3) x+1 = 0 has

    Text Solution

    |

  19. If A={x|x is prime number and x<30}, find the number of different rati...

    Text Solution

    |