Home
Class 12
MATHS
(log)3(1-1/3)+(log)3(1+1/4)+(log)3(1+1/5...

`(log)_3(1-1/3)+(log)_3(1+1/4)+(log)_3(1+1/5)++(log)_3(1+1/(242))` when simplified has the value equal to: `2` b. `4` c. `6` d. `(log)_2 16`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

log_(3)(1-(1)/(3))+log_(3)(1+(1)/(4))+log_(3)(1+(1)/(5))+...+log_(3)(1+(1)/(242)) when simplified has the value equal to: 2 b.4c.6d.log_(2)16

(log_(2)3)(log_(1/3)5)(log_(4)6)<1

((log)_(2)3)(log)_(3)4(log)_(4)5(log)_(n)(n+1)=10 Find n=?

(log)_(2)(log)_(2)(log)_(3)(log)_(3)27^(3) is 0 b.1 c.2 d.3

The expression (1)/(log_(5)3)+(1)/(log_(6)3)-(1)/(log_(10)3) simplifies to

If log_(10)(x-1)^(3)-3log_(10)8(x-3)=log_(10)8 then log_(x)625 has the value of equal to: 5(b)4 (c) 3 (d) 2

If xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1 , then x equals

The number N=(1+2log_(3)2)/((1+log_(3)2)^(2))+(log_(6)2)^(2) when simplified reduces to:

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

(1) / (log_ (3) e) + (1) / (log_ (3) e ^ (2)) + (1) / (log_ (3) e ^ (4)) + ... =

RESONANCE DPP-JEE MAINS-All Questions
  1. Consider the following statements (i) The sum of a rational number ...

    Text Solution

    |

  2. Let f(x)=3/4x+1,f^n(x)b ed efin e da sf^2(x)=f(f(x)),a n dforngeq2,f^(...

    Text Solution

    |

  3. (log)3(1-1/3)+(log)3(1+1/4)+(log)3(1+1/5)++(log)3(1+1/(242)) when simp...

    Text Solution

    |

  4. If vec xa n d vec y are two non-collinear vectors and a, b, and c ...

    Text Solution

    |

  5. Simplify: 5^(1/((log)7 5))+1/(sqrt(-(log)(10)(0. 1)))3

    Text Solution

    |

  6. If p,q in N and 0,1bar2=p/q where p and q are relatively prime then id...

    Text Solution

    |

  7. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  8. The point Q is the image of the P in line x + y+ 4= 0 and R is the ima...

    Text Solution

    |

  9. Consider the following statements (i) The sum of a rational number ...

    Text Solution

    |

  10. sqrt(5-log2x)=3-log2x

    Text Solution

    |

  11. If x satisfies the inequality log(x+3) (x^2-x) < 1 then x may belong t...

    Text Solution

    |

  12. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |

  13. one vertex of the triangle of maximum area that can be inscribed in th...

    Text Solution

    |

  14. Solve the following inequations log3((1+ 2x)/(1+x))<1

    Text Solution

    |

  15. A tangent is drawn at any point P (t) on the parabola y^2 = 8x and on ...

    Text Solution

    |

  16. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  17. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |

  18. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  19. A wet porous subtance in the open air loses its moisture at a rate pro...

    Text Solution

    |

  20. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |