Home
Class 12
MATHS
If a, b, c are positive numbers such tha...

If a, b, c are positive numbers such that `a^(log_(3)7) =27, b^(log_(7)11)=49, c^(log_(11)25)=sqrt(11)`, then the sum of digits of `S=a^((log_(3)7)^(2))+b^((log_(7)11)^(2))+c^((log_(11)25)^(2))` is :

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If a, b, c, are positive real numbers and log_(4) a=log_(6)b=log_(9) (a+b) , then b/a equals

If a, b, c are positive real numbers, then a^("log"b-"log"c) xx b^("log"c-"log"a) xx c^("log"a - "log"b)

The value of 2^("log"_(3)7) - 7^("log"_(3)2) is

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

The value of ((log_(2)9)^(2))^(1/(log_(2)(log_(2)9)))xx(sqrt7)^(1/(log_(4)7)) is ________.

If log_(y)x +log_(x)y = 7 , then the value of (log_(y)x)^(2) +(log_(x)y)^(2) , is

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

Find the value of log_(2) (1/(7^(log_(7) 0.125))) .

Prove that: (log_9 11)/(log_5 3) = (log_3 11)/(log_sqrt(5) 3).

If log_(b)5=a,log_(b)2.5=c,and5^(x)=2.5 , then x=

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. The quadratic equation whose root:s are sec^2 alpha and cosec^2 alpha...

    Text Solution

    |

  2. Consider the function f(x)=(.^(x+1)C(2x-8))(.^(2x-8)C(x+1)) Statement...

    Text Solution

    |

  3. If a, b, c are positive numbers such that a^(log(3)7) =27, b^(log(7)1...

    Text Solution

    |

  4. The graph of the function y =f(x). Then which of the following curve r...

    Text Solution

    |

  5. Let 0ltalphalt(pi)/(2) be a fixed angle. If P=(costheta,sintheta)andQ=...

    Text Solution

    |

  6. The interior angle bisector of angle P for the trangle P Q R whose coo...

    Text Solution

    |

  7. The graph of function f(1)(x)={[1,ifxle0],[x^2+1,if0ltxlt2] },f(2)(x)=...

    Text Solution

    |

  8. The set of solution of inequality [x]^2=-[x], where [.] denotes greate...

    Text Solution

    |

  9. ("lim")(x->0)[(sin(sgn(x)))/((sgn(x)))], where[dot] denotes the greate...

    Text Solution

    |

  10. The radius of the circle which touches the co-ordinates axes and the ...

    Text Solution

    |

  11. Two vertices of a rectangle are on the positive x-axis. The other two ...

    Text Solution

    |

  12. Equation of a circle of radius 2 and touching the circles x^2+y^2-4|x|...

    Text Solution

    |

  13. Solve: |[x^2-1, x^2+2x+1, 2x^2+3x+1], [2x^2+x-1, 2x^2+5x-3, 2x^2+4x-3...

    Text Solution

    |

  14. The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(3...

    Text Solution

    |

  15. Let f(x)={x^2-4x+3,x<3 and x-4,xgeq3 }a n d g(x)={1,x<1 and ...

    Text Solution

    |

  16. The equation of perpendicular bisectors of the side AB and AC of a tri...

    Text Solution

    |

  17. If vec a= vec b+ vec c , vec b X vecd= vec0 and vec c*vec d=0 then (...

    Text Solution

    |

  18. A rectangle PQRS has its side PQ parallel to the line y= mx and vertic...

    Text Solution

    |

  19. Let f(x) = max{|x^2 - 2 |x||,|x|} and g(x) = min{|x^2 - 2|x||, |x|} th...

    Text Solution

    |

  20. if alpha,beta be the roots of the equation (x-a)(x-b)+x=0(c ne0), then...

    Text Solution

    |