Home
Class 12
MATHS
Number of integral solutions of the equa...

Number of integral solutions of the equation `(log)_(x-3)((log)_(2"x"^2-2"x"+3)(x^2+2x))=0` is
a. 4 b. 2 c. 1 d. 0

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

The number of solution of the equation log(-2x)= 2 log(x+1) are

Find the integral solutions of the equation 4(log)_(x//2)(x)+2(log)_(4"x")(x^2)=3(log)_(2"x")(x^3)

The number of solutions of the equation log_(3)(3+sqrt(x))+log_(3)(1+x^(2))=0 , is

The number of solutions of the equation "log"_(4) (x-1) = "log"_(2) (x-3) , is

The number of real solutions of the equation "log" (-x) = 2"log" (x+1) , is

The number of solutions of the equation x^("log"sqrt(x)^(2x)) =4 is

The number of solutions of the equation 3"log"_(3)|-x| = "log"_(3) x^(2), is

The solution set of the equation "log"_(x)2 xx "log"_(2x)2 = "log"_(4x) 2, is

The solution set of the equation "log"_(x)2 xx "log"_(2x)2 = "log"_(4x) 2, is

The solution set of the equation "log"_(1//3)(2^(x+2)-4^(x)) ge -2 , is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (pi/4,(3pi)/4) (b) [pi...

    Text Solution

    |

  5. If the matrix satisfies the equation [[1,-2], [4, 3]]+2x=[[2, 1,-2],[ ...

    Text Solution

    |

  6. Find the range of f(x), where f(x)=cos(sin(In(x^2+e)/(x^2+1)))+sin(cos...

    Text Solution

    |

  7. A line cuts the x-axis at A (7, 0) and the y-axis at B(0, - 5) A varia...

    Text Solution

    |

  8. If A= {3, 5, 7, 9, 11}, B = {7, 9, 11 , 13}, C = {11 , 13 , 15}andD = ...

    Text Solution

    |

  9. The value of expression, log4((x^2)/4)-2log4(4x^4) when x=-2 is (a)-6...

    Text Solution

    |

  10. At the point P(a,a^(n)) on the graph of y=x^(n),(n in N), in the first...

    Text Solution

    |

  11. Let N=(4^5+4^5+4^5+4^5)/(3^5+3^5+3^5)dot(6^5+6^5+6^5+6^5+6^5+6^5)/(2^5...

    Text Solution

    |

  12. If | vec a|=2,| vec b|=5a n d vec adot vec b=0, then vec a x ( vec ax...

    Text Solution

    |

  13. If x=(log)k b=(log)b c=1/2(log)c d , then (log)k d is equal to 6x (b)...

    Text Solution

    |

  14. If f(x) =x^(3)+bx^(2)+cx+d and 0lt b^(2)ltc then in (-oo,oo)

    Text Solution

    |

  15. The number of solution of the equation log(-2x)= 2 log(x+1) are

    Text Solution

    |

  16. Let vec a=2 hati+hat j+ hat k , vec b=hat i+2hat j- hatk and a unit v...

    Text Solution

    |

  17. If (log)3x=a and (log)7x=b , then which of the following is equal to (...

    Text Solution

    |

  18. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i-...

    Text Solution

    |

  19. Draw the graph of y=||x|^(2)-2|x|-3|, if y=x^(2)-2x-3

    Text Solution

    |

  20. The solution set of the inequality max {1-x^2,|x-1|}<1 is (-oo,0)uu(1,...

    Text Solution

    |