Home
Class 12
MATHS
Solve the following equations. (xi) log...

Solve the following equations.
(xi) `log_(sqrt2sinx)(1+cosx)=2`

Text Solution

Verified by Experts

The correct Answer is:
x= `lamda/3`
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|5 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Solve the following equations: a) sinx + sqrt(2)=cosx b) "cosec "theta=1+cottheta

Find the solutions of the equation, (log)_(sqrt(2)sin"x")(1+cosx)=2, in the interval x [0,2pi]

The number of solutions of the equation log_(sqrt2sin x)(1+cosx)=2 in the interval [0, 5pi] is

Solve the equation sinx+cosx=1

Solve the following inequality: (i) sin x ge sqrt(3)/2 (ii) sinx + cosx ge 1

Differentiate the following functions with respect to x: log((sinx)/(1+cosx))

Find the range of following functions f(x)=log_(2)((sinx-cosx+3sqrt2)/(sqrt2))

Solve the equation sinx +sqrt(3) cosx=sqrt(2)

Solve the following differential equation: (dy)/(dx)+y=cosx-sinx

Solve the following differential equation: cosx(1+cosy)dx-siny(1+sinx)dy=0

ARIHANT MATHS ENGLISH-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. Solve the following equations. (ix) x^(log2x+4)=32

    Text Solution

    |

  2. Solve the following equations. (x) logax=x, where a=x^(logax)

    Text Solution

    |

  3. Solve the following equations. (xi) log(sqrt2sinx)(1+cosx)=2

    Text Solution

    |

  4. A rational number which is 50 times its own logarithm to the base 10, ...

    Text Solution

    |

  5. [2/log4(2000)^6+3/log5(2000)^6]

    Text Solution

    |

  6. Find the value of x satisfying loga{1+logb{1+logc(1+logpx)}}=0.

    Text Solution

    |

  7. The value of 4^(5log(4sqrt(2)(3-sqrt(6))-6log(8)(sqrt(3)-sqrt(2)))) is

    Text Solution

    |

  8. Solve the following inequation . (iv) log(x^2)(x+2)lt1

    Text Solution

    |

  9. Solve the following inequation . (ii) log(2x)(x^2-5x+6)lt1

    Text Solution

    |

  10. Solve the following inequation . (iii) log(2)(2-x)ltlog(1//2)(x+1)

    Text Solution

    |

  11. Solve the following inequation . (iv) log(x^2)(x+2)lt1

    Text Solution

    |

  12. Solve the following inequation . (v) 3^(log3sqrt((x-1)))lt3^(log3(x-...

    Text Solution

    |

  13. Solve the following inequation . (vi) log(1//2)(3x-1)^2ltlog(1//2)(x...

    Text Solution

    |

  14. Solve the following inequation . (vii) log(10)x+2lelog10^2x

    Text Solution

    |

  15. Solve the following inequation . (viii) log10(x^2-2x-2)le0

    Text Solution

    |

  16. Solve the following inequation . (ix) logx(2x-3/4)gt2

    Text Solution

    |

  17. Solve the following inequation: log(1//3)xltlog(1//2)x

    Text Solution

    |

  18. Solve the inequation log(2x+3)x^(2)ltlog(2x+3)(2x+3)

    Text Solution

    |

  19. Solve the following inequation . (xii) (log2x)^2+3log2xge5/2log(4sqr...

    Text Solution

    |

  20. Solve the following inequation . (xiii) (x^2+x+1)^xlt1

    Text Solution

    |