Home
Class 11
MATHS
Leg f(x)=log((log)(1//3)((log)(1/3)((log...

Leg `f(x)=log((log)_(1//3)((log)_(1/3)((log)_7(sinx+a)))` be defined for every real value of `x ,` then the possible value of `a` is 3 (b) 4 (c) 5 (d) 6

Text Solution

Verified by Experts

`f(x)=log(log_(1/3)(log_7(sinx+a)))`
`log_(1/3)log_7(sinx+a))>0`
`0 `1<(sinx+a)<7`
`1-sinx `2
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    CENGAGE|Exercise Solved Examples And Exercises|482 Videos

Similar Questions

Explore conceptually related problems

The number of integral values of a for which f(x)=log(log_((1)/(3))(log_(7)(sin x+a))) is defined for every real value of x is

Let f(x) be a function such that f(x)=log_((1)/(3))(log_(3)(sin x+a)). If f(x) is decreasing for all real values of x, then

((log)_(5)3)xx((log)_(3)625) equals 1 b.2 c.3 d.4

((log)_(5)5)((log)_(4)9)((log)_(3)2) is equal to 2 b.5 c.1 d.(3)/(2)

If log(x-3)+log(x+2)=log(x^(2)+x-6) , then the real value of x, which satisfies the above equation is

If log_(2)log_(3)log_(4)log_(5)A=x , then the value of A is

Let y=(2^((log)_2 1/4x)-3^(log)_(27)(x^2+1)^3-2x)/(7^(4(log)_(49)x)-x-1)a n d(dy)/(dx)=a x+b , then the value of a+b is_______.

Statemen-1: If x lt 1 , then the least value of "log"_(2)x^(3) - "log"_(x) (0.125)" is "6 .

CENGAGE-TRIGONOMETRIC FUNCTIONS-Solved Examples And Exercises
  1. If x , y in [0,2pi]a n dsinx+siny=2, then the value of x+y is pi (b) ...

    Text Solution

    |

  2. The value of (1+cospi/8)(1+cos(3pi)/8)(1+cos(5pi)/8)(1+cos(7pi)/8)i s ...

    Text Solution

    |

  3. Leg f(x)=log((log)(1//3)((log)(1/3)((log)7(sinx+a))) be defined for ev...

    Text Solution

    |

  4. Number of roots of cos^2x+(sqrt(3)+1)/2sinx-(sqrt(3))/4-1=0 which lie ...

    Text Solution

    |

  5. If sintheta1+sintheta2+sintheta3=3, then costheta1+costheta2+costheta...

    Text Solution

    |

  6. Number of integral values of a for which the equation cos^2x-sinx+a=0 ...

    Text Solution

    |

  7. It cos(alpha+beta)=4/5,sin(alpha-beta)=5/(13)a n dalpha,beta lie betwe...

    Text Solution

    |

  8. If sin^2theta=(x^2+y^2+1)/(2x) , then x must be -3 (b) -2 (c) 1...

    Text Solution

    |

  9. If cos4x=a0+a1cos^2x+a^2cos^4x is true for all values of x in R , the...

    Text Solution

    |

  10. If A B C ,sinC+cosC+sin(2B+C)-cos(2B+C)=2sqrt(2.) Prove that A B C ...

    Text Solution

    |

  11. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |

  12. Suppose ABCD (in order) is a quadrilateral inscribed in a circle. Whic...

    Text Solution

    |

  13. Solve sec4theta-sec2theta=2

    Text Solution

    |

  14. Prove that sum(r=1)^n(1/(costheta+"cos"(2r+1)theta))=(sinntheta)/(2si...

    Text Solution

    |

  15. ABC is an isosceles triangle inscribed in a circle of radius rdot If A...

    Text Solution

    |

  16. Solve : 5cos2theta+2cos^2(theta/2)+1=0,-pi lt theta lt pi

    Text Solution

    |

  17. If x^2+y^2=x^2y^2 then find the range of (5x+12 y+7x y)/(x y) .

    Text Solution

    |

  18. If 3tanA+4=0, then the value of 2cotA-5cosA+sinA is equal to (23)/(10)...

    Text Solution

    |

  19. Solve sin2theta+costheta=0

    Text Solution

    |

  20. Two medians drawn from the acute angles of a right angled triangle int...

    Text Solution

    |