Home
Class 11
MATHS
Solve the inequality: log(x)2.log(2x)2. ...

Solve the inequality: `log_(x)2.log_(2x)2. log_(2)4x gt 1`

Text Solution

Verified by Experts

`2^(-sqrt(2)) lt x lt 2^(-1), 1 lt x lt 2^(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise EXERCISE (JM)|16 Videos

  • BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION

    ALLEN|Exercise ILLUSTRATIONS|39 Videos

  • SOLUTION AND PROPERTIES OF TRIANGLE

    ALLEN|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

Solve the inequality: log_(x-2)(2x-3)>log_(x-2)(24-6x)

Solve log_(x)2log_(2x)2=log_(4x)2

Solve the inequality: log_(1//2)(x+1) gt log_(2)(2-x)

Solve the inequality (log_(2)x)^(2)-|(log_(2)x)-2|>=0

Solve the inequality (log_(2)x)^(2)-|(log_(2)x)-2|>=0

Solve the inequality log _(0.5)|1x|log_(x1)2<=2

Solve the equation: log_(2)x+log_(4)(x+2)=2

Solve the inequation log_(2x+3)x^(2)ltlog_(2x+3)(2x+3)

Solve the in equality log_((1)/(4))(2-x)>log_((1)/(4))((2)/(x+1))

Solve the inequality sqrt(log_(2)((2x-3)/(x-1)))<1

ALLEN-BASIC MATHS,LOGARITHIM, TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -EXERCISE (S-1)
  1. Find the product of the positive roots of the equation sqrt((2008))...

    Text Solution

    |

  2. Solve the inequality: log(1//2)(x+1) gt log(2)(2-x)

    Text Solution

    |

  3. Solve the inequality: log(x)2.log(2x)2. log(2)4x gt 1

    Text Solution

    |

  4. Prove that : cos^2alpha+cos^2(alpha+beta)-2cosalphacosbetacos(alpha+be...

    Text Solution

    |

  5. Prove that 2 sin^2 beta + 4 cos(alpha + beta) sin alpha sin beta + co...

    Text Solution

    |

  6. sin^4(pi/16)+sin^4(3pi/16)+sin^4(5pi/16)+sin^4(7pi/16)=3/2

    Text Solution

    |

  7. If x=sin(theta+(7pi)/(12))+sin(theta+pi/(12))+sin(theta+(3pi)/(12))dot...

    Text Solution

    |

  8. 6. Find the positive integers p, q, r, s satisfying tan (pi/24)=(sqrt(...

    Text Solution

    |

  9. if m*tan(theta-30)=n*tan(theta+120), show that cos2theta=(m+n)/(2(m-n)...

    Text Solution

    |

  10. If cos(alpha+beta)=4/5; sin(alpha-beta)=5/13 and alpha,beta lie betwee...

    Text Solution

    |

  11. If the value of the expression sin 25^@* sin 35^@* sin 85^@ can be exp...

    Text Solution

    |

  12. Prove that (4cos^2 9^0-3)(4cos^2 27^0-3)=tan9^0dot

    Text Solution

    |

  13. Prove that 4cos((2pi)/7).cos(pi/7)-1=2cos((2pi)/7).

    Text Solution

    |

  14. Let P(k)=(1+cospi/(4k)) (1+cos((2k-1)pi)/(4k)) (1+cos((2k+1)pi)/(4k))...

    Text Solution

    |

  15. Calculate without using trigonometric tables: (a) 4 cos 20^@ - sqrt3 c...

    Text Solution

    |

  16. (2cos4 0^(@)-cos2 0^(@))/(sin2 0^(@)

    Text Solution

    |

  17. cos^6(pi/16)+cos^6(3pi/16)+cos^6(5pi/16)+cos^6(7pi/16)

    Text Solution

    |

  18. tan1 0^(@)-tan5 0^(@)+tan7 0^(@)

    Text Solution

    |

  19. Given that (1+tan1^@)(1+tan2^@)+...........+(1+tan45^@)= 2^n find n .

    Text Solution

    |

  20. If a leq 3 cos (theta+pi/3)+5cos theta+3 leq b, find a and b, where ...

    Text Solution

    |