Home
Class 11
MATHS
Sum of integers satisfying sqrt((log)2x-...

Sum of integers satisfying `sqrt((log)_2x-1)-1/2(log)_2(x^3)+2>0` is......

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

  • PERMUTATIONS AND COMBINATIONS

    CENGAGE ENGLISH|Exercise All Questions|444 Videos

Similar Questions

Explore conceptually related problems

Sum of integers satisfying sqrt(log_(2)x-1)-1//2 log_(2)(x^(3))+2 gt 0 is ________.

Number of integers satisfying the inequality (log)_(1/2)|x-3|>-1 is.....

The number of positive integers satisfying x+(log)_(10)(2^x+1)=x(log)_(10)5+(log)_(10)6 is...........

Number of solution satisfying, sqrt(5-(log)_2x)=3-(log)_2x are: (a) 1 (b) 2 (c) 3 (d) 4

The number of integers satisfying log_((1)/(x))((2(x-2))/((x+1)(x-5)))ge 1 is

Number of integers satisfying the inequality log_((x+3))(x^2-x) lt 1 is

Number of integers lt=10 satisfying the inequality 2(log)_(1/2)(x-1)lt=1/3-1/((log)_(x^2-x)8) is............

Solve (log)_2(3x-2)=(log)_(1/2)x

Solve (log)_2(3x-2)=(log)_(1/2)x

Number of integers satisfying the inequality log_((x + 3)/(x - 3))4 lt 2 [log_(1/2)(x - 3)-log_(sqrt(2)/2)sqrt(x + 3)] is greater than

CENGAGE ENGLISH-LOGARITHM-All Questions
  1. If (log)a3=2and (log)b8=3, then prove that (log)a b=(log)3 4.

    Text Solution

    |

  2. Find the value of log tan1^0logtan2^0...........logtan89^0

    Text Solution

    |

  3. Sum of integers satisfying sqrt((log)2x-1)-1/2(log)2(x^3)+2>0 is......

    Text Solution

    |

  4. The value of b for which the equation 2(log)(1/(25))(bx+28)=-(log)5(12...

    Text Solution

    |

  5. The least integer greater than (log)2(15)* (log)(1/6)2 * (log)3 1/6 i...

    Text Solution

    |

  6. The reciprocal of 2/((log)4(2000)^6)+3/((log)5(2000)^6) is ..............

    Text Solution

    |

  7. The value of 5^((log)(1/5)(1/2))+(log)(sqrt(2))4/(sqrt(7)+sqrt(3))+(lo...

    Text Solution

    |

  8. The value of N=((log)5 250)/((log)(50)5)-((log)5 10)/((log)(1250)5) is...

    Text Solution

    |

  9. If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then fin...

    Text Solution

    |

  10. If loge((a+b)/2)=1/2(loge a+loge b), then find the relation between a ...

    Text Solution

    |

  11. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to

    Text Solution

    |

  12. The value of loga b-log|b|= loga (b) "log"|a| (c) -loga (d) none o...

    Text Solution

    |

  13. If (21. 4)^a=(0. 00214)^b=100 , then the value of 1/a-1/b is 0 (b) 1 ...

    Text Solution

    |

  14. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

    Text Solution

    |

  15. The number of N=6-(6(log)(10)2+(log)(10)31) lies between two successi...

    Text Solution

    |

  16. (log)4 18 is a rational number (b) an irrational number (c)a prime n...

    Text Solution

    |

  17. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

    Text Solution

    |

  18. Given aa n db are positive numbers satisfying 4(log(10)a)^2+((log)2b)...

    Text Solution

    |

  19. If ((log)a N)/((log)c N)=((log)a N-(log)b N)/((log)b N-(log)c N),w h e...

    Text Solution

    |

  20. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)bc=3 (where a , b ,...

    Text Solution

    |