Home
Class 12
MATHS
Match the column Column I, Column II ...

Match the column Column I, Column II If `x=3,t h e n(log)_4(2(log)_3(1+(log)_2(1+3Log_3x)))` is equal to, p. 3 If `x=100 ,` then `3^((log)_3logsqrt(x))-logx+log^2x` is equal to, q. 1 If one of the root of the equation `2((log)_xsqrt(5))^2-3(log)_x(a)+1=0` is `sqrt(5)` , then the other root is, r. `1/2` If `(log)_2(4. 3^x-6)-(log)_2(9^x-6)=1,` then `x` is equal to, s. 5

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

Solve: (log)_2(4.3^x-6)-(log)_2(9^x-6)=1.

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

4^(log_9 3)+9^(log_2 4)=1 0^(log_x 83) , then x is equal to

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

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

The number of real roots of the equation log_(1//3)(1+sqrt(x))+log_(1//3)(1+x)=2 , is

2log x-log(x+1)-log(x-1) is equals to

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

The sum of all the roots of the equation log_(2)(x-1)+log_(2)(x+2)-log_(2)(3x-1)=log_(2)4

If 1,log_9(3^(1-x)+2), log_3(4*3^x-1) are in A.P then x equals to

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If f(x)={[1 , if xle3],[a x+b , if 3ltxlt5],[ 7, if 5lex]} . Determine...

    Text Solution

    |

  2. The reflection of the point vec a in the plane vec rdot vec n=q i...

    Text Solution

    |

  3. Match the column Column I, Column II If x=3,t h e n(log)4(2(log)3(1...

    Text Solution

    |

  4. Let f be a continuous real function such that f(11)=10 and for all ...

    Text Solution

    |

  5. The orthogonal projection of vec a\ on\ vec b is a. (( vec adot vec ...

    Text Solution

    |

  6. If the expression cos(x - 3pi/2) + sin(3pi/2+x) + sin(32pi+x) - 18 cos...

    Text Solution

    |

  7. The value of ("lim")(x→0)x[1/x], where [.] denotes GIF, is 0 (b) 1 (c)...

    Text Solution

    |

  8. Let p,q be chosen one by one from the set {1, sqrt(2),sqrt(3), 2, e, p...

    Text Solution

    |

  9. If alphaandbeta be the roots of the quadratic equation x^(2)+px+q=0, t...

    Text Solution

    |

  10. The value of (lim)(xvec0)(e^(2x)-cosx-ln(1+2x))/(xtanx-sinx)i s 0 (b...

    Text Solution

    |

  11. If two events A and B are such that P(A^c)=0. 3. P(B)=0. 4a n dP(AnnB^...

    Text Solution

    |

  12. If f(r)=1+1/2+1/3+1/ra n df(0)=0,t h e nsum(r=1)^n(2r+1)f(r) is equal ...

    Text Solution

    |

  13. If("lim")(xvecoo)(n .3^n)/(n(x-2)^n+n .3^(n+1)-3^n)=1/3, t h e nt h e ...

    Text Solution

    |

  14. If ""^(100)C(6)+4." "^(100)C(7)+6." "^(100)C(8)+4." "^(100)C(9)+""^(1...

    Text Solution

    |

  15. If y=1cos theta+2costheta+3cos3theta+....+99cos99theta, then maximum v...

    Text Solution

    |

  16. A variable plane moves so that the sum of reciprocals of its interce...

    Text Solution

    |

  17. If [.] and {.} denote greatest and fractional part functions respectiv...

    Text Solution

    |

  18. Prove the following identities: (1-sintheta)/(1+sintheta)= (sectheta...

    Text Solution

    |

  19. In given figure vec A B=3 hat i- hat j , vec A C=2 hat i+3 hat j and ...

    Text Solution

    |

  20. Let F(x) =1+f(x)+(f(x))^(2)+(f(x))^(3), where f(x) is an increasing di...

    Text Solution

    |