Home
Class 11
MATHS
Given aa n db are positive numbers sati...

Given `aa n db` are positive numbers satisfying `4(log_(10)a)^2+((log)_2b)^2=1.` Find the range of values of `aa n dbdot`

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

The value(s) of x, satisfying 3^(4log_9(x+1))=2^(2log_2 x)+3

If 1/(log_(x)10) = 2/(log_(0.5)10) , then find the value of x.

Suppose that a and b are positive real numbers such that log_(27)a+log_9(b)=7/2 and log_(27)b+log_9a=2/3 .Then the value of the ab equals

If log_(10)2=0.30103 find the value of log_(5)32

If log_(b) n = 2 and log_(n) 2b = 2 , then find the value of b.

The x , y , z are positive real numbers such that (log)_(2x)z=3,(log)_(5y)z=6,a n d(log)_(x y)z=2/3, then the value of (1/(2z)) is ............

Let a , b , c , d be positive integers such that (log)_a b=3/2a n d(log)_c d=5/4dot If (a-c)=9, then find the value of (b-d)dot

Express M in terms of N: log_(10)N=3 -2 log_(10)M

Find the number of digits in 4^(2013) , if log_(10) 2 = 0.3010.

If log_(10)2 = 0.3010 determine the value of log_(4)(125) .

CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. (log)4 18 is

    Text Solution

    |

  2. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

    Text Solution

    |

  3. Given aa n db are positive numbers satisfying 4(log(10)a)^2+((log)2b)...

    Text Solution

    |

  4. If ((log)a N)/((log)c N)=((log)a N-(log)b N)/((log)b N-(log)c N),w h e...

    Text Solution

    |

  5. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)bc=3 (where a , b ,...

    Text Solution

    |

  6. Solve for: x :(2x)^((log)b2)=(3x)^((log)b3) .

    Text Solution

    |

  7. Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...

    Text Solution

    |

  8. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqr...

    Text Solution

    |

  9. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to:

    Text Solution

    |

  10. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x2)=f(x1+x2) (b)f(x+2)-...

    Text Solution

    |

  11. If a , b , c are consecutive positive integers and log(1+a c)=2K , the...

    Text Solution

    |

  12. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,then b is eq...

    Text Solution

    |

  13. If p >1 and q >1 are such that log(p+q)=logp+logq ,then the value of l...

    Text Solution

    |

  14. The value of (1+2(log)3 2)/((1+(log)3 2)^2)+((log)6 2)^2 is

    Text Solution

    |

  15. If (log)4 5=aa n d(log)5 6=b , then (log)3 2 is equal to 1/(2a+1) (b)...

    Text Solution

    |

  16. If (log)(10)2=a ,(log)(10)3=bt h e n(log)(0. 72)(9. 6) in terms of a a...

    Text Solution

    |

  17. There exists a natural number N which is 50 times its own logarithm t...

    Text Solution

    |

  18. The value of ((log)2 24)/((log)(96)2)-((log)2 192)/((log)(12)2) is 3 (...

    Text Solution

    |

  19. Find the number of solutions of equation (2x-3)2^x=1

    Text Solution

    |

  20. Find the value of (log)(2sqrt(3))1728.

    Text Solution

    |