Home
Class 12
MATHS
If (log)(10)(1028)/(1024)=alphaa n d(log...

If `(log)_(10)(1028)/(1024)=alphaa n d(log)_(10)=beta,` then the value of `(log)_(10)4100` in terms of `alphaa n dbeta` is equal to a. `alpha+9beta` b. `alpha+12beta` c. `12alpha+beta` d. `9alpha+beta`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If (log)_(10)(1025)/(1024)=alphaa n d(log)_(10)2=beta , then the value of (log)_(10)4100 in terms of alphaa n dbeta is equal to alpha+9beta (b) alpha+12beta 12alpha+beta (d) 9alpha+beta

If log_(12)18=alpha and log_(24)54=beta then the value of alpha beta+alpha-beta

If cot(alpha+beta)=0 then sin(alpha+2 beta) is equal to a.sin alpha b.cos2 beta c.cos alpha d.sin2 alpha

Given that (log)_p x=alpha\ a n d(log)_q x=beta,\ then value of equals- a. (alphabeta)/(beta-alpha) b. (beta-alpha)/(alphabeta) c. (alpha-beta)/(alphabeta) d. (alphabeta)/(alpha-beta)

If log_(12)18=alpha and log_(24)54=beta. Prove that alpha beta+5(alpha-beta)=1

Find the value of, cos alpha cos beta, cos alpha sin beta, -no alpha-sin beta, cos beta, 0 sin alpha cos beta, sin alpha sin beta, cos alpha] |

if s=cos^(2)alpha+cos^(2)beta then the value of cos(alpha+beta)*cos(alpha-beta) in terms of s is

If alpha+beta=90^@ and alpha=2beta , then the value of 3cos^2alpha-2sin^2beta is equal to:

If (a+ib)^(5)+alpha+i beta then (b+ia)^(5) is equal to ( A) beta-i alpha(B)beta+i alpha(C)alpha-i beta(D)-alpha-i beta

Write the quadratic equations, if (i) alpha + beta = - 10 , alpha beta = 7 (ii) alpha + beta = 4, alpha beta = - 2

RESONANCE DPP-JEE MAINS-All Questions
  1. If 1/3(log)3M+3(log)3N=1+(log)(0. 008)5, then M^9 9/N b. N^9=9/M c. M^...

    Text Solution

    |

  2. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  3. If (log)(10)(1028)/(1024)=alphaa n d(log)(10)=beta, then the value of...

    Text Solution

    |

  4. tangents are drawn to x^2+y^2=a^2 at the points A(acos theta, a sin th...

    Text Solution

    |

  5. N fair coins are flipped once. The probability that at most 2 of the c...

    Text Solution

    |

  6. Which is greater ? 12 or 3 3

    Text Solution

    |

  7. If the pair of lines ax^2 +2hxy+ by^2+ 2gx+ 2fy +c=0 intersect on the ...

    Text Solution

    |

  8. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  9. If Sn = 1+1/2 + 1/2^2+...+1/2^(n-1) and 2-Sn < 1/100, then the least v...

    Text Solution

    |

  10. If the circumcenter of an acute-angled triangle lies at the origin ...

    Text Solution

    |

  11. Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} ver...

    Text Solution

    |

  12. Let S= set of point inside the sqare, T= set of points inside the tria...

    Text Solution

    |

  13. Which of the following statements are true and which false ? {:((i),...

    Text Solution

    |

  14. Solve for x :(log)2(4(4^x+1))dotlog2(4^x+1)=(log)(1/(sqrt(2)))1/(sqrt(...

    Text Solution

    |

  15. A rack has 5 different pairs of shoes. The number of ways in which 4 s...

    Text Solution

    |

  16. If x^2+p x+q=0 is the quadratic equation whose roots are a-2a n d b-2 ...

    Text Solution

    |

  17. Let X={1,2,3,...10},A={1,2,4,5},B={2,4,6,8,10}a n dC={2,3,4,5,6,7} ver...

    Text Solution

    |

  18. The least integer k which makes the roots of the equation x^2+5x+k=0 i...

    Text Solution

    |

  19. Write of the following statements as true or false? The set of all equ...

    Text Solution

    |

  20. The sum of infinite number of terms of a G.P. is 4 and the sum of thei...

    Text Solution

    |