Home
Class 11
MATHS
Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = s...

Solve `x^[[3/4(log_2 x)^2+log_2 x-5/4]] = sqrt2`

Text Solution

Verified by Experts

`{1/(2^(1//3)),1/4,2}`
Promotional Banner

Topper's Solved these Questions

  • 3D-GEOMETRY

    PATHFINDER|Exercise QUESTION BANK|39 Videos

  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

Similar Questions

Explore conceptually related problems

Solve (log)_(2x)2+(log)_4 2x=-3//2.

Solve (log)_(2x)2+(log)_4 2x=-3//2.

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

Solve (log)_2(x-1)> 4.

Solve 3^((log_(9)x)^(2)-9/2log_(9)x+5)= 3 sqrt3.

Solve x^(log_(4) x)=2^(3(log_(4)x+3) .

Solve : log_(2)log_(2)log_(2)x=-1

Solve (log)_3(x-2)lt=2.

Solve: (log)_3(2x^2+6x-5)>1

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

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. The value of x satisfying log((2x+3)) (6x^2+23x+21)=4-log((3x+7)) (4...

    Text Solution

    |

  2. The value of x satisfying x+log10(1+2^x)=x log10 5+log10 6 is

    Text Solution

    |

  3. Solve x^[[3/4(log2 x)^2+log2 x-5/4]] = sqrt2

    Text Solution

    |

  4. log5 (6+2/x)+log((1//5)) (1+x/10)le1

    Text Solution

    |

  5. Number of solution of x^2+x+absx+1le0 is

    Text Solution

    |

  6. Solution set of x satisfying x^2-abs(x+2)+xgt0 is

    Text Solution

    |

  7. The set of all integers x such that abs(x-3)lt2 is equal to

    Text Solution

    |

  8. Solution set of x satisfying (abs(x+3)+x)/(x+2) gt1 is

    Text Solution

    |

  9. Number of solution of abs(x^2+4x+3) + 2x+5=0 is/are

    Text Solution

    |

  10. Solution set of x satisfying abs(abs(x-2)-1)ge3 is

    Text Solution

    |

  11. Solution set of x satisfying abs(x/(x-1))+absx=x^2/abs(x-1) is

    Text Solution

    |

  12. Solution set of x satisfying 2^x+2^absx ge2sqrt2 is

    Text Solution

    |

  13. Solution set of x satisfying abs(x-1)+abs(x-2)+abs(x-3)ge6 is

    Text Solution

    |

  14. The solution set of these equation 2^absy-abs(2^(y-1)-1)=2^(y-1)+1

    Text Solution

    |

  15. sin^2 5^@+sin^2 10^@ + sin^2 15^@+.........+sin^2 85^@+sin^2 90^@ equa...

    Text Solution

    |

  16. If sinA+sinB+sinC=3, then the value of cosA+cosB+cosC is equal to

    Text Solution

    |

  17. If theta in (-pi, 2 pi) then the interval in which cos theta gt0 is

    Text Solution

    |

  18. The value of sin 750^@- sin(-750^@)+cos 339^@-cos(-339^@) is equal to

    Text Solution

    |

  19. If sqrt(1-sinA)= "sin" A/2-"cos" A/2, then A/2 - pi/4 could lie in qua...

    Text Solution

    |

  20. Prove that tan 1^@ tan 2^@ tan 3^@........ tan 88^@tan89^@=1

    Text Solution

    |