Home
Class 12
MATHS
If the third term in the expansion of (1...

If the third term in the expansion of `(1/x+""_"x"(log)_(10 x))^5` is `1000 ,` then find `xdot`

A

10

B

1

C

`1/(sqrt(10))`

D

100

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL INDUCTION AND BINOMIAL THEOREM

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/ JEE Main Papers|59 Videos
  • LIMITS AND CONTINUITY

    MCGROW HILL PUBLICATION|Exercise Previous Years B-Architecture Entrance Examination Paper|12 Videos
  • MATHEMATICAL REASONING

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B. ARCHITECTURE ENTRANCE EXAMINATION PAPERS|11 Videos

Similar Questions

Explore conceptually related problems

If the third term in the expansion of ((1)/(x)+_(x)log_(10x))^(5) is 1000, then find x

If the third term in the expansion of (1/x + x^(log_(10) x) )^5 is 100, find x .

Find the third term in the expansion of (x + 2/5 y)^4

Find the middle term in the expansion of (1+2x+x^(2))^(10)

Find the middle term in the expansion of (1+2x+x^(2))^(10)

Find the middle term in the expansion of: (x-(1)/(x))^(10)

If the 6th term in the expansion of [(1)/(x^((8)/(3)))+x^(2)log_(10)x]^(8) is 5600, then x=

MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-Questions from Previous Years. B-Architecture Entrance Examination Papers
  1. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

    Text Solution

    |

  2. If (1 + x) (1 + x + x^(2)) (1 + x + x^(2) + x^(3)) .... (1 + x + x^(2)...

    Text Solution

    |

  3. If the 7th terms from the beginning and end in the expansion of ( root...

    Text Solution

    |

  4. The remainder when 7^(128) is divided by 10 is

    Text Solution

    |

  5. The value of the sum sum(j=0)^(8)1/((j+1)(j+2))(8/j) is

    Text Solution

    |

  6. If x^(n)=a(0)+a(1)(1+x)+a(2)(1+x)^(2)+….+a(n)(1+x)^(n)=b(0)+b(1)(1-x)+...

    Text Solution

    |

  7. If the third term in the expansion of (1/x+"""x"(log)(10 x))^5 is 1000...

    Text Solution

    |

  8. If the sum of the coefficients in the expansion of (x +y)^(n) is 2048,...

    Text Solution

    |

  9. If (1+x+x^(2))^(8)=a(0)+a(1)x+a(2)x^(2)+…a(16)x^(16) for all values of...

    Text Solution

    |

  10. Coefficient of t^(24) in (1+t^(2))^(12)(1+t^(12))(1+t^(24)) is :

    Text Solution

    |

  11. Sum of the last 30 coefficients of powers of x in the binomial expansi...

    Text Solution

    |

  12. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

    Text Solution

    |

  13. For a positive integer n, if the mean of the binomial coefficients in...

    Text Solution

    |

  14. If the digits at ten's and hundred's places in (11)^(2016) are x and y...

    Text Solution

    |

  15. Let t(r) denote the rth term in the binomial expansion of (a + 1)^(50)...

    Text Solution

    |

  16. Let (1+x)^(n)=C(0)+C(1)x+C(2)x^(2)++….+C(n)x^(n) where C(r)=""^(n)C(r)...

    Text Solution

    |

  17. For beta ne 0, if the coefficient of x^(3) in the binomial expansion o...

    Text Solution

    |

  18. What is the sum of all the coefficients in the expansion of (1+x)^(n) ...

    Text Solution

    |

  19. If r is the remainder obtained on dividing 98^(5) by 12, then the coef...

    Text Solution

    |

  20. The coefficient of x^(5) in the expansion of (1-x)((x^(3)-6)/(2x^(2)))...

    Text Solution

    |