Home
Class 12
MATHS
The retio (2^(log(2^1/4)) a-3log27(a^2...

The retio `(2^(log_(2^1/4)) a-3log_27(a^2+1)^3-2a)/(7^(4log_49 a-a-1)` simplifies to

A

`a^(2) - a - 1`

B

`a^(2) + a - 1`

C

`a^(2) - a + 1`

D

`a^(2) + a + 1`

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 -I)|19 Videos
  • BASIC MATHEMATIC & LOGARITHM

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

    MOTION|Exercise Exercise - 4|4 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

The ratio (2^(log_(2^(1/4))a)-3^(log_(27)(a^2+1)^3)-2a)/(7^(4log_(49)a-a-1)) simplfies to

The retio (2^(log_((11)/(4)))a-3log_(27)(a^(2)+1)^(3)-2a)/(7^(4log_(10)a-a-1)) simplifies to

The value of (2^(log_(2^(1/4)) 2)-3^(log_27 125)-4)/((7^(4log_(49) 2))-3) is

Prove that (2^(log_(2^(1//4))x)-3^(log_(27)(x^(2)+1)^(3))-2x)/(7^(4log_(49)x)-x-1)gt0,AAx in(0,oo) .

Let y=(2^(log_(2^(1//4))x)-3^(log_(27) (x^(2)+1)^(3))-2x)/(7^(4 log_(4 9)x)-x-1) and (dy)/(dx)=ax+b , the ordered pair (a, b) is

Let y=(2^((log)_2 1/4x)-3^(log)_(27)(x^2+1)^3-2x)/(7^(4(log)_(49)x)-x-1)a n d(dy)/(dx)=a x+b , then the value of a+b is_______.

Prove that (2^(log_(2)(1)/(4)x)-3^(log_(27)(x^(2)+1)^(3))-2x>)/(7_(-x-1)^(4log_(49)x))0

The number N=2^(log_(2)3log_(3)4*log_(4)5.......log_(99)100) simplifies to

MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 1
  1. Anti logarithm of 0.75 to the base 16 has the value equal to

    Text Solution

    |

  2. The number log(2) 7 is

    Text Solution

    |

  3. The retio (2^(log(2^1/4)) a-3log27(a^2+1)^3-2a)/(7^(4log49 a-a-1) s...

    Text Solution

    |

  4. 1/(log(sqrt(bc))abc)+1/(log(sqrt(ca))abc)+1/(log(sqrt(ab))abc) has the...

    Text Solution

    |

  5. If 3^(2 log3 x)-2x-3=0, then the number of values of 'x' satisfying th...

    Text Solution

    |

  6. If logx log18 (sqrt2+sqrt8)=1/3. Then the value of 1000 x is equal to

    Text Solution

    |

  7. Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

    Text Solution

    |

  8. Number of real solution of the equation sqrt(log(10)(-x)) = log(10) sq...

    Text Solution

    |

  9. Solve for x: log(4) log(3) log(2) x = 0.

    Text Solution

    |

  10. 2 log(4) (4 - x) = 4 - log(2) ( - 2 - x).

    Text Solution

    |

  11. log(10)^(2) x + log(10) x^(2) = log(10)^(2) 2 - 1

    Text Solution

    |

  12. Solve log(2).(x-1)/(x-2) gt 0 or (x-1)/(x-2) gt 2^(0) .

    Text Solution

    |

  13. Solve (log)(0. 04)(x-1)geq(log)(0. 2)(x-1)

    Text Solution

    |

  14. Solve log(2)(x-1) gt 4.

    Text Solution

    |

  15. Solve log(x+3)(x^(2)-x) lt 1.

    Text Solution

    |

  16. How many digits are contained in the number 2^(75) ?

    Text Solution

    |

  17. Let m be the number of digits in 3^(40) and p be the number of zeroes...

    Text Solution

    |

  18. Given that log(10)(2) = 0.3010..., number of digits in the number 2000...

    Text Solution

    |

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

    Text Solution

    |

  20. The number of real roots of the equation |x|^(2) -3|x| + 2 = 0, is

    Text Solution

    |