Home
Class 12
MATHS
If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5,...

If `1/3(log)_3M+3(log)_3N=1+(log)_(0. 008)5,` then

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

let N =(log_(3) 135/log_(15) 3) - (log_(3) 5/log_(405) 3) , then N equals

If (a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,then b is equal to 1/2 (2) 2/3 (c) 1/3 (d) 3/2

Let N=((log)_3 135)/((log)_(15)3)-((log)_3 5)/((log)_(405)3)dot Then N is a natural number (b) a prime number an even integer (d) an odd integer

If n >1,t h e np rov et h a t 1/((log)_2n)+1/((log)_3n)++1/((log)_(53)n)=1/((log)_(53 !)n)dot

If (log)_a b=2,(log)_b c=2,a n d(log)_3c=3+(log)_3a , then the value of c//(a b) is............

Which of the following is correct? a. (log)_2 0.9 is negative b. (log)_(0. 1)0. 008 is positive c. (log)_3 83<(log)_2 34 d. (log)_pi e is positive

If (log)_(10)5=aa n d(log)_(10)3=b ,t h e n (A) (log)_(30)8=(3(1-a))/(b+1) (B) (log)_(40)15=(a+b)/(3-2a) (C) (log)_(243)32=(1-a)/b (d) none of these

Which of the following when simplified, vanishes? a. 1/((log)_3 2)+2/((log)_9 4)-3/((log)_(27)8) b. (log)_2(2/3)+(log)_4(9/4) c. -(log)_8(log)_4(log)_2 16 d. (log)_(10)cot1^0+\ (log)_(10)cot2^0+(log)_(10)cot3^0++(log)_(10)cot89^0

A value of C for which the conclusion of Mean Value Theorem holds for the function f(x)""=""(log)_e x on the interval [1, 3] is (1) 2(log)_3e (2) 1/2""(log)_e3 (3) (log)_3e (4) (log)_e3

The global maximum value of f(x)=(log)_(10)(4x^3-12 x^2+11 x-3),x in [2,3], is -3/2(log)_(10)3 (b) 1+(log)_(10)3 (log)_(10)3 (d) 3/2(log)_(10)3

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f(x)= 4x^(2) - 4ax + a^(2) - 2a + 2 such that minimum value fo the...

    Text Solution

    |

  2. Suppose that E1 and E2 are two events of a random experiment such that...

    Text Solution

    |

  3. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then

    Text Solution

    |

  4. Consider a quadratic equation az^(2)bz+c=0, where a,b and c are comple...

    Text Solution

    |

  5. Find tha value of the expression 2/log4(2000)^6+3/log5(2000)^6

    Text Solution

    |

  6. Find the whole area included between the curve x^2y^(2) = a^(2)(y^(2) ...

    Text Solution

    |

  7. The number of ways of choosing triplet (x , y ,z) such that zgeqmax{x,...

    Text Solution

    |

  8. The number of isosceles triangles with integer sides if no side exeeds...

    Text Solution

    |

  9. Solve for x :(log)2(4(4^x+1))dotlog2(4^x+1)=(log)(1/(sqrt(2)))1/(sqrt(...

    Text Solution

    |

  10. Let f(x)= 4x^(2) - 4ax + a^(2) - 2a + 2 such that minimum value fo the...

    Text Solution

    |

  11. Let O(0,0),A(2,0),a n dB(1 1/(sqrt(3))) be the vertices of a triangle....

    Text Solution

    |

  12. 50^(th) term of the squence 3+12+25+42+…… is

    Text Solution

    |

  13. Circle are drawn on the chords of the rectangular hyperbola x y=4 para...

    Text Solution

    |

  14. If log(10)(x-1)3-3log(10)(x-3)=log(10)8,then log(x)625 has the value e...

    Text Solution

    |

  15. For certain curve y=f(x) satisfying (d^(2)y)/(dx^(2))=6x-4, f(x) has l...

    Text Solution

    |

  16. The expression (n^3 - n), where n is any odd natural number is divisib...

    Text Solution

    |

  17. A quadrilateral is inscribed in a parabola. Then the quadrilateral may...

    Text Solution

    |

  18. Which of the following is not equivalent to (p^^~ q)->r (a) ~(q v ~ ...

    Text Solution

    |

  19. If x=(7+5sqrt(2))^(1/3) -1/((7+5sqrt(2))^(1/3) , then the value of x^3...

    Text Solution

    |

  20. The median of a set of 9 distinct observations is 20.5. If each of the...

    Text Solution

    |