Home
Class 12
MATHS
The equation x^3/4((log)2x)^(2+(log)2x-5...

The equation `x^3/4((log)_2x)^(2+(log)_2x-5/4)=sqrt(2)` has at least one real solution exactly three solutions exactly one irrational solution complex roots

A

at least one real solution

B

exactly three solutions

C

exactly one irrational solution

D

complex roots

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise MATHEMATICS|263 Videos

  • TEST PAPERS

    RESONANCE|Exercise PART - I MATHMATICS|84 Videos

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

  • TEST SERIES

    RESONANCE|Exercise MATHEMATICS|131 Videos

Similar Questions

Explore conceptually related problems

The equation x^(3/4(log_(2)x)^(2)+log_(2)x-5/4)=sqrt(2) has

The equation x^((3)/(4)(log_(2)x)^(2)+log_(2)x-(5)/(4))=sqrt(2) has (1989,2M) at least one real solution exactly three real solutions exactly one irrational solution complex roots

The equation x((3)/(4))(log_(2)x)^(2)+(log_(2)x)-((5)/(4))=sqrt(2)has(1)at least one real solution (2) exactly three solutions (3) exactly one irrational solution (4) complex roots

The equation x^((3)/4 (log_2x)^2+log_2 x -(5)/(4))=sqrt(2) has :

The equation x^((3//4) (log_(2)x)^(2) + log_(2)x - (5//4)) = sqrt(2) has:

The equation ((log)_8(8/(x^2)))/(((log)_8x^2))=3 has- a. no integral solution b. one natural c. two real solution d. one irrational solution

The equation (log)_(x+1)(x- .5)=(log)_(x-0. 5)(x+1) has (A) two real solutions (B) no prime solution (C) one integral solution (D) no irrational solution

For the equation x^((3)/(4)(log 2 x)^(2)+log 2(x)-(5)/(4))=sqrt(2) which one of the following is not true?

RESONANCE-TEST PAPERS-Math
  1. Which of the following is not a rational number.

    Text Solution

    |

  2. If S is the set of all real x such that (2x-1)/(2x^(3)+3x^(2)+x) is po...

    Text Solution

    |

  3. The equation x^3/4((log)2x)^(2+(log)2x-5/4)=sqrt(2) has at least one r...

    Text Solution

    |

  4. The quadratic equation ax^(2)+bx+c=0 has real roots if:

    Text Solution

    |

  5. Let Delta^(2) be the discriminant and alpha,beta be the roots of the e...

    Text Solution

    |

  6. For which of the following graphs of the quadratic expression y=ax^(2)...

    Text Solution

    |

  7. if (3sin^(-1)x+pix-pi)^(2)+{sin(cos^(-1)((x)/(5)))}^(2)-2sin(cos^(-1)(...

    Text Solution

    |

  8. For the A.P given by a(1),a(2). . .a(n) . . . ., the equation satisfi...

    Text Solution

    |

  9. If sum(r=1)^(n)r(r+1)(2r+3)=an^(4)+bn^(3)+cn^(2)+dn+e, then.

    Text Solution

    |

  10. if b(1),b(2),b(3)(b(1)gt0) are three successive terms of a G.P. with c...

    Text Solution

    |

  11. The value of lamda so that the matric A^(-1)lamdaI is singular where A...

    Text Solution

    |

  12. If F(alpha)=[(cosalpha, -sinalpha,0),(sinalpha, cosalpha, 0),(0,0,1)] ...

    Text Solution

    |

  13. Let f(x)=(sin^(-1)x)/(cos^(-1)x)+(cos^(-1)x)/(tan^(-1)x)+(tan^(-1)x)/(...

    Text Solution

    |

  14. The value of x for which |{:(x,2,2),(3,x,2),(3,3,x):}|+|{:(1-x,2,4),(2...

    Text Solution

    |

  15. Let f(x)=-4.sqrt(e^(1-x))+1+x+(x^(2))/(2)+(x^(3))/(3). If g(x) is inve...

    Text Solution

    |

  16. Find the integral values of a for which the equation x^4-(a^2-5a+6)x^2...

    Text Solution

    |

  17. Find the number of positive integral solution of the equation tan^(-1)...

    Text Solution

    |

  18. if the equation x^(4)-4x^(3)+ax^(2)+bx+1=0 has four positive roots, th...

    Text Solution

    |

  19. The sum of three numbers forming a geometric progression is equal to 5...

    Text Solution

    |

  20. if cos^(-1)((1)/(sqrt(2))(cos((7pi)/(5)-sin((2pi)/(5)))=(ppi)/(q) (whe...

    Text Solution

    |