Home
Class 12
MATHS
lf sum of maximum and minimum value of y...

lf sum of maximum and minimum value of `y = log_2(x^4+x^2+1) - log_2 (x^4 +x^3 +2x^2+x+1)` can be expressed in form `((log_2 m)-n)`, where m and n are coprime then compute `(m+n)`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE ENGLISH|Exercise High Level Problem|26 Videos

  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

The value of x, log_(1/2)x >= log_(1/3)x is

Solve the equation log_4 (2x^2 + x + 1) - log_2 (2x - 1) = 1.

Number of solutions of log_4(x-1)=log_2(x-3) is :

The number of solution of log_4(x-1)=log_2(x-3) is :

Solution(s) of the equation. 3x^2-2x^3 = log_2 (x^2 + 1) - log_2 x is/are

If range of f (x)= ((ln x) (ln x ^(2))+ln x ^(3)+3)/(ln ^(2) x+ln x ^(2)+2) can be expressed as [ (a)/(b),(c )/(d)] where a,b,c and d are prime numbers (not nacessarily distinct) then find the value of ((a+b+c+d))/(2).

if x >0 , and log_2 x + log_2 (x^(1/2)) + log_2 (x^(1/4))+ ------------ = 4 then x equals :

Solve for x : 3^(log x)-2^(log x) =2^(log x+1)-3^(log x-1)

If m = log 20 and n = log 25, find the value of x, so that : 2 log(x - 4) = 2m - n.

If x satisfies log_2(9^(x-1)+7)=2+log_2(3^(x-1)+1) , then

RESONANCE ENGLISH-DPP-QUESTION
  1. If a gt b gt 0 are two real numbers, the value of, sqrt(ab+(a-b)sqrt(...

    Text Solution

    |

  2. Consider the equation log(5)[(2+sqrt5)^(x)+(sqrt5-2)^(x)]=1/2-log(1//5...

    Text Solution

    |

  3. lf sum of maximum and minimum value of y = log2(x^4+x^2+1) - log2 (x^4...

    Text Solution

    |

  4. Find the sum of all the real solution (s) to the equation (x+y)^(2)=(x...

    Text Solution

    |

  5. If x^2 + 2(a-1)x + a + 5 = 0 has real roots belonging to the interval ...

    Text Solution

    |

  6. lf alpha and beta are the roots of the equation x^2-ax + b = 0 and ...

    Text Solution

    |

  7. Let r ,s ,a n dt be the roots of equation 8x^2+1001 x+2008=0. Then fin...

    Text Solution

    |

  8. The set of all values of ' a ' for which the quadratic equation 3x^2+2...

    Text Solution

    |

  9. If b^(2)ge4ac for the equation ax^(4)+bx^(2)+c=0 then all the roots of...

    Text Solution

    |

  10. If the tan theta and sec theta are roots of the equation ax^(2)+bx+c=0...

    Text Solution

    |

  11. Consider a quadratic equation ax^(2)+bx+c=0"where"a,b,c inR and a ne 0...

    Text Solution

    |

  12. All the roots of x^(3)+ax^(2)+bx+c are positive integers greater than ...

    Text Solution

    |

  13. The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are a...

    Text Solution

    |

  14. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  15. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

    Text Solution

    |

  16. If x1, x2& x3 are three distinct numbers which satisfy the relation (a...

    Text Solution

    |

  17. When a polynomial P (x) is divided by x,(x-2)and (x-3), remainders are...

    Text Solution

    |

  18. Number of zeros after decimal before first significant dign in the num...

    Text Solution

    |

  19. The expression (1)/(1+(x)/(1-(x)/(x+2)))div ((1)/(1-x)+(1)/(1+x))/(...

    Text Solution

    |

  20. For any two sets Aa n dB which of the following is pair wise disjoint ...

    Text Solution

    |