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

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

A

only one real solution

B

exactly three real solutions

C

exactly one rational solution

D

non-real roots.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos
  • QUADRATIC EQUATIONS

    MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|13 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos
  • REAL NUMBERS

    MODERN PUBLICATION|Exercise Multiple Choice Questions (Level-II)|8 Videos

Similar Questions

Explore conceptually related problems

Solve the equation x^(log_(x)(x+3)^(2))=16 .

The number of solutions of : log_(4) (x - 1)= log_(2) (x - 3) is :

Solve the equation log_((log_(5)x))5=2

Solve the equation 2x^(log_(4)^(3))+3^(log_(4)^(x))=27

The solution set of log_(x)2 log_(2x)2 = log_(4x) 2 is :

Solve the equation log_(3)(5+4log_(3)(x-1))=2

The equation (log_10x+2)^3+(log_10x-1)^3=(2log_10x+1)^3 has

Number of integral solution of the equation log_(sin x) sqrt(sin^(2)x)+ log_(cos x)sqrt( cos^(2)x)= , where x in [0,6pi] is

Solve the following inequation . (xii) (log_2x)^2+3log_2xge5/2log_(4sqrt2)16

The real roots of the equation : 7 log_(7) (x^(2) - 4x + 5) = x - 1 are :

MODERN PUBLICATION-QUADRATIC EQUATIONS -MULTIPLE CHOICE QUESTIONS (LEVEL-II)
  1. The solution of x - 1 = (x - [x]) (x - {x}), ( where [x] and {x} are i...

    Text Solution

    |

  2. Let a, b,c in R and a ne 0. If alpha is a root of a^(2) x^(2) + bx + c...

    Text Solution

    |

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

    Text Solution

    |

  4. The product of the roots of the equation x^(2) - 4 mx + 3e^(2 " log m...

    Text Solution

    |

  5. The value of 'a' for which the equation x^(3) + ax + 1 = 0 and x^(4) +...

    Text Solution

    |

  6. The number of real solutions of ((9)/(10))^(x) = - 3 + x - x^(2) is :

    Text Solution

    |

  7. If a + b + c = 0 , then the equation equation : 3ax^(2) + 2bx + c = ...

    Text Solution

    |

  8. If alpha, beta are the roots of ax^(2) - 26x + c = 0, then alpha^(3...

    Text Solution

    |

  9. If alpha , beta are roots of 375x^(2) - 25x - 2 = 0 and s(n) = alpha^...

    Text Solution

    |

  10. A quadratic equation whose roots are ((gamma)/(alpha))^(2) and ((beta...

    Text Solution

    |

  11. If alpha, beta are the roots of lambda(x^(2)+x)+x+5=0 and lambda(1), l...

    Text Solution

    |

  12. The least integer satisfying : 49.4 - ((27 - x)/(10)) lt 47.4 - ((2...

    Text Solution

    |

  13. If the equation ax^(2) + 2bx - 3c = 0 has non-real roots and ((3c)/(4)...

    Text Solution

    |

  14. Let a, b, c be positive real numbers. The following system of equation...

    Text Solution

    |

  15. If f (x) = x - [x], x (ne 0 ) in R, where [x] is the greatest integer ...

    Text Solution

    |

  16. The real values of x for which 3^(72) ((1)/(3))^(x) ((1)/(3))^(sqrt(x)...

    Text Solution

    |

  17. If the ratio of the roots of a(1)x^(2) + b(1) x + c(1) = 0 be equal ...

    Text Solution

    |

  18. If the product of the roots of the equation x^(2) - 3kx + 2e^(2 log k)...

    Text Solution

    |

  19. If a + b + c = 0, then x^((a^(2))/(bc)), x^((b^(2))/(ca)) , x((c^(2))/...

    Text Solution

    |

  20. The equation ax^(2) + bx + c = 0 , where a, b,c are real number conne...

    Text Solution

    |