Home
Class 12
MATHS
If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3...

If `(a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,t h e ni se q u a lto` `1/2` (2) `2/3` (c) `1/3` (d) `3/2`

A

`1/2`

B

`2/3`

C

`1/3`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
C
`(a+log_(4) 3)/(a+log_(2)3) = (a+log_(8) 3)/(a+log_(4)3) = (log_(4) 3-log_(8) 3)/(log_(2)3-log_(4) 3) = 1/3`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|18 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Linked Comprehension Type|6 Videos

  • LOGARITHM AND ITS PROPERTIES

    CENGAGE PUBLICATION|Exercise Exercise 1.6|6 Videos

  • LOGARITHM AND ITS APPLICATIONS

    CENGAGE PUBLICATION|Exercise Subjective Type|9 Videos

  • MATHMETICAL REASONING

    CENGAGE PUBLICATION|Exercise Archives|10 Videos

Similar Questions

Explore conceptually related problems

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

If 2x^((log)_4 3)+3^((log)_4x)=27 , then x is equal to

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

The value of 3^((log)_4 5)-5^((log)_4 3) is

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

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

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

If log_(3)x + log_(3)y =2 + log_(3)2 and log_(3)(x+y) =2 , then

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

Solve 4^((log)_9x)-6x^((log)_9 2)+2^((log)_3 27)=0

CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
  1. The value of loga b-log|b|=

    Text Solution

    |

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

    Text Solution

    |

  3. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,t h e ni se ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. There exists a natural number N which is 50 times its own logarithm to...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. 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

    |

  12. about to only mathematics

    Text Solution

    |

  13. The value of 3^((log)4 5)-5^((log)4 3) is

    Text Solution

    |

  14. If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...

    Text Solution

    |

  15. The value of x satisfying sqrt3^(-4+2log(sqrt5)x)= 1//9 is

    Text Solution

    |

  16. The value of x satisfying the equation 3sqrt(5)^(log)5 5^(((log)5(log)...

    Text Solution

    |

  17. If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals (a)odd integer (...

    Text Solution

    |

  18. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

    Text Solution

    |

  19. সমাধান করো : 4^(log9 3)+9^(log2 4)=10^(logx 83)।

    Text Solution

    |

  20. Solve (x+1)^(log(10) (x+1))=100(x+1)

    Text Solution

    |