Home
Class 12
MATHS
In the equality (log2x)^4-(log(1//2)"x...

In the equality
`(log_2x)^4-(log_(1//2)"x^5/4)^2-20log_2x+148lt0`
holds true in (a,b), where a,b`in` N. Find the value of ab (a+b).

Text Solution

Verified by Experts

The correct Answer is:
3456
Promotional Banner

Topper's Solved these Questions

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|6 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 6|5 Videos

  • MATHEMATICAL INDUCTION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Find the value of x of log_(4)x = 2

Find the range of log_3{log_(1/2)(x^2+4x+4)}

Find the least value of log_2x-log_x(0.125) for xgt1 .

Find the domain f(x)=log_(100x)((2 log_(10) x+1)/-x)

Find the value of the following 2^(log""_(4)5)

If log_10 2, log_10(2^x- 1) and log_10(2^x+3) are in A.P., then find the value of x.

Solve the equation log_(1/3)[2(1/2)^(x)-1]=log_(1/3)[(1/4)^(x)-4]

There exists a positive number k such that log_2x+ log_4x+ log_8x= log_kx , for all positive real no x. If k= a^(1/b) where (a,b) epsilon N, the smallest possible value of (a+b)=

Solve the equation log_(2)(3-x)-log_(2)(("sin"(3pi)/4)/(5-x))=1/2+log_(2)(x+7)

Find domain of f(x)=sqrt(log_(1/2)((5x-x^2)/4))

ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. Solve the following inequation . (xv) x^((log10x)^2-3log10x+1)gt1000

    Text Solution

    |

  2. Solve the following inequation . (xvi) log4{14+log6(x^2-64)}le2

    Text Solution

    |

  3. Solve the following inequation . (xvii) log2(9-2^x)le10^(log10(3-x))

    Text Solution

    |

  4. Solve the following inequation: 2x+3<5x-4

    Text Solution

    |

  5. Every Natural number is Whole number?

    Text Solution

    |

  6. Find the value of x of log(4)x = 2

    Text Solution

    |

  7. 2^((sqrt(loga(ab)^(1//4)+logb(ab)^(1//4))-sqrt(loga(b/a)^(1//4)+logb(a...

    Text Solution

    |

  8. It is known that x=9 is root of the equation.loglamda(x^2+15a^2)-logla...

    Text Solution

    |

  9. Solve log4(log3x)+log(1//4)(log(1//3)y)=0 and x^2+y^2=17/4.

    Text Solution

    |

  10. Find dy/dx if log(4x)+log(16x)=4y.

    Text Solution

    |

  11. Find the sum and product of all possible values of x which makes the ...

    Text Solution

    |

  12. Solve : (3)/(2)log(4)(x+2)^(2)+3=log(4)(4-x)^(3)+log(4)(6+x)^(3).

    Text Solution

    |

  13. Find the number of real values of x satisfying the equation. log(2)(...

    Text Solution

    |

  14. Solve the system of equation 2^(sqrtx+sqrty)=256 and log10sqrt(xy)-log...

    Text Solution

    |

  15. Every Integer is Whole number?

    Text Solution

    |

  16. Every Whole number Integer ?

    Text Solution

    |

  17. Solve log3(sqrtx+|sqrtx-1|)=log9(4sqrtx-3+4|sqrtx-1|).

    Text Solution

    |

  18. In the equality (log2x)^4-(log(1//2)"x^5/4)^2-20log2x+148lt0 holds...

    Text Solution

    |

  19. Find the value of x satisfying the equation, sqrt((log3(3x)^(1/3)+logx...

    Text Solution

    |

  20. If P is the number of natural number whose logarithms to the base 10 ...

    Text Solution

    |