Home
Class 11
MATHS
If x y^2=4a n d(log)3((log)2x)+(log)(1/3...

If `x y^2=4a n d(log)_3((log)_2x)+(log)_(1/3)((log)_(1/2)y)=1,t h e nxe q u a l s` 4 (b) 8 (c) 16 (d) 64

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE PUBLICATION|Exercise All Questions|430 Videos

Similar Questions

Explore conceptually related problems

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

Solve (log)_2(3x-2)=(log)_(1/2)x

Solve (log)_4 8+(log)_4(x+3)-(log)_4(x-1)=2.

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to

If (log)_(10)[1/(2^x+x-1)]=x[(log)_(10)5-1] , then x= 4 (b) 3 (c) 2 (d) 1

If (log)_2x+(log)_2ygeq6, then the least value of x+y is 4 (b) 8 (d) 16 (d) 32

If (a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,then b is equal to 1/2 (2) 2/3 (c) 1/3 (d) 3/2

The value of ((log)_2 24)/((log)_(96)2)-((log)_2 192)/((log)_(12)2) is 3 (b) 0 (c) 2 (d) 1

If (log)_2x+(log)_x2=(10)/3=(log)_2y+(log)_y2 and x!=y ,the x+y= 2 (b) 65/8 (c) 37/6 (d) none of these

Solve : 3log_x(4)+ 2log_(4x)4+3log_(16x)4=0

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. Solve (log)3(x-2)lt=2.

    Text Solution

    |

  2. If x1a n dx2 are the roots of the equation e^2 x^(lnx)=x^3 with x1> x2...

    Text Solution

    |

  3. If x y^2=4a n d(log)3((log)2x)+(log)(1/3)((log)(1/2)y)=1,t h e nxe q u...

    Text Solution

    |

  4. x^((log)5x)>5 implies x in (0,oo) (b) [2,2.5] (c) (2,2.5) (d) (0,2...

    Text Solution

    |

  5. The number of real values of the parameter k for which (log(16)x)^2-(l...

    Text Solution

    |

  6. If S={x in R :((log)(0. 6)0. 216)(log)5(5-2x)lt=0}, then S is equal t...

    Text Solution

    |

  7. If S={x in N :2+(log)2sqrt(x+1)>1-(log)(1/2)sqrt(4-x^2)} , then S={1...

    Text Solution

    |

  8. Equation (log)4(3-x)+(log)(0. 25)(3+x)=(log)4(1-x)+(log)(0. 25)(2x+1)h...

    Text Solution

    |

  9. Solution set of the inequality 1/(2^x-1)>1/(1-2^(x-1)) is 1,oo) (b) 0...

    Text Solution

    |

  10. The solution set of the inequality (log)(10)(x^2-16)lt=(log)(10)(4x-11...

    Text Solution

    |

  11. Which of the following is a solution of (logx)(5/2-1/x) gt (5/2-1/x) ?

    Text Solution

    |

  12. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

    Text Solution

    |

  13. Solve the following equation of x :2(log)x a+(log)(a x)a+3(log)(a^2x)a...

    Text Solution

    |

  14. Solve for x :4^x-3^(x-1//2)=3^(x+1//2)-2^(2x-1) .

    Text Solution

    |

  15. If P is the number of natural numbers whose logarithms to the base 10 ...

    Text Solution

    |

  16. Find the compound interest on Rs. 12000 for 10 years at the rate of 12...

    Text Solution

    |

  17. If x=(log)(2a)a , y=(log)(3a)2a ,z=(log)(4a)3a ,p rov et h a t1+x y z=...

    Text Solution

    |

  18. Let L denote antilog32 0.6 and M denote the number of positive integer...

    Text Solution

    |

  19. Let x=(0. 15)^(20)dot Find the characteristic and mantissa of the loga...

    Text Solution

    |

  20. Using logarithms, find the value of 6.45 x 981.4

    Text Solution

    |