Home
Class 12
MATHS
Find number of integral solutionlog(x+3)...

Find number of integral solution`log_(x+3)(x^(2)-x)lt1`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos

  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

The number of integral solutions of log_(9)(x+1).log_(2)(x+1)-log_(9)(x+1)-log_(2)(x+1)+1lt0 is

Solve log_(x+3)(x^(2)-x) lt 1 .

The number of integral solutions of x^(2)-3x-4 lt 0 , is

Find the number of integral solutions of x_1+x_2+x_3+=24 subjected to the condition that 1lt=x_1lt=5,12lt=x_2lt=18 and -1lt=x_3

Number of integral solution of equation 5^(log_(5)^(2)x+x^(log5)x)=1250 is

find the number of solutions of log_(10)x=x

The number of solution of x^(log_(x)(x+3)^(2)) = 16 is

Find the number of integral values ofx satisfying log_(4)(3x^(2)-8x+7)-log_(2)(x-2)<=-cot((3 pi)/(4))

Find the number of integral solution of the equation log_(sqrt(x))(x+|x-2|)=log_(x)(5x-6+5|x-2|)

RESONANCE-DPP-QUESTION
  1. Find the solution of the inequality 2log(1/4)(x+5)>9/4log(1/(3sqrt(3))...

    Text Solution

    |

  2. If a and b are positive integers such that a^(2)-b^(4)=2009, then a+b^...

    Text Solution

    |

  3. Find number of integral solutionlog(x+3)(x^(2)-x)lt1

    Text Solution

    |

  4. Suppose xy-5x+2y=30, where x and y are positive integers. Find the num...

    Text Solution

    |

  5. Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x...

    Text Solution

    |

  6. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

    Text Solution

    |

  7. If sum(r=0)^(n-1)log(2)((r+2)/(r+1)) prod(r=10)^(99)log(r) (r+1), then...

    Text Solution

    |

  8. Solve for x: log(2)x le 2/(log(2)x-1)

    Text Solution

    |

  9. Solve the in equality log(1/4) (2-x)>log(1/4) (2/(x+1)).

    Text Solution

    |

  10. Given that log(a^(2))(a^(2)+1)=16 find the value of log(a^(32))"("a+1/...

    Text Solution

    |

  11. If (3log(10)x+19)/(3log(10)x-1)=2 log(10)x+1, find solution of equatio...

    Text Solution

    |

  12. Prove that there exist no natural numbers, m and n such that m^(2)=n^(...

    Text Solution

    |

  13. Solve (i)" "(x-1)/(x)-(x+1)/(x-1)lt2" "(ii)" "(x^(2)+4x+4)/(2x^(2)-x-...

    Text Solution

    |

  14. If (u)/(alpha)=(v)/(beta)=then (u)/(alpha)=(v)/(beta)=((au^(n)+bv^(n))...

    Text Solution

    |

  15. If ratio of the work done by n men in (n+2) days is to the work done b...

    Text Solution

    |

  16. Number of non-negative integral values of 'k' for which roots of the e...

    Text Solution

    |

  17. Let y=1/(2+1/(3+(1/(2+1/3+....))) The value of y is :

    Text Solution

    |

  18. If x-=2+2^(2//3)+2^(1//3)" then the value "(x^(3)-6x^(2)+6x) is

    Text Solution

    |

  19. If log 15=a and log75=b, then log(75)45 is:

    Text Solution

    |

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

    Text Solution

    |