Home
Class 14
MATHS
Find the value of x, if the fourth term ...

Find the value of x, if the fourth term in the expansion of `((1)/(x^(2))+x^(2)*2x)^(6)` is 160

A

10

B

`-5//2`

C

2

D

100

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    DISHA PUBLICATION|Exercise Test Yourself |15 Videos
  • LOGARITHMS

    DISHA PUBLICATION|Exercise Practice Exercises (Standard Level)|43 Videos
  • LINEAR EQUATIONS

    DISHA PUBLICATION|Exercise TEST YOUSELF|15 Videos
  • MENSURATION

    DISHA PUBLICATION|Exercise TEST YOURSELF|15 Videos

Similar Questions

Explore conceptually related problems

Find the fourth term in the expansion of (1-2x)^(3/2)

Find the fourth term in the expansion of (4/7 x - y^2)^5

Find the fourth term in the expansion of (x - 2y)^12

Find the 4 th term in the expansion of (1-2x)^((3)/(2))

Find the middle term in the expansion of (3x-(1)/(2x))^(16)

Find the middle term in the expansion of (3x-(1)/(2x))^(16)

Find the constant term in the expansion of (x-1/x)^(6)

Find the 6th term in expansion of (2x^(2)-1/3x^(2))^(10)

Find the middle term in the expansion of: (3x-(2)/(x^(2)))^(15)

DISHA PUBLICATION-LOGARITHMS-Practice Exercises (Expert Level)
  1. If 2[log(x+y)-log5]=logx+logy, then what is the value of x^(2)+y^(2) ...

    Text Solution

    |

  2. The number of solutions of the equation log(x-3)(x^(3)-3x^(2)-4x+8)=3...

    Text Solution

    |

  3. Find the value of x, if the fourth term in the expansion of ((1)/(x^(...

    Text Solution

    |

  4. Solve : 3^(2x-1)=4^(x+2)

    Text Solution

    |

  5. Solve for x:log(5)(5^(1//x)+125)=log(5)6+1+1//2x

    Text Solution

    |

  6. If log (0.57) = 0. 756 then the value of log 57 + log (0.57)^(3) + log...

    Text Solution

    |

  7. If log(2)[log(7)(x^(2)-x+37)]=1, , then what could be the value of x ?

    Text Solution

    |

  8. If 1/3log(3)M+3log(3)N=1+log(0.008)5, then

    Text Solution

    |

  9. If log(3)2,log(3)(2^(x)-5),log(3)(2^(x)-7/2) are in arithmetic progre...

    Text Solution

    |

  10. If xgey and ygt1, then the value of the expression log(x)(x/y)+log(y)...

    Text Solution

    |

  11. If log(y)x=(a.log(z)y)=(b.log(x)z)=ab, then which of the following pai...

    Text Solution

    |

  12. What is the value of (log(sqrt(alphabeta))(H))/(log(alphabeta)(beta))

    Text Solution

    |

  13. 1/(log(2)a) + 1/(log(4)a) + 1/(log(8)a)+….. To n terms =(n(n+1))/k, th...

    Text Solution

    |

  14. If (x^(4) - 2x^(2)y^(2) + y^(4))^(a-1) =(x-y)^(2a) (x+y)^(-2), then th...

    Text Solution

    |

  15. If u = v^(2) = w^(2) =z^(4), then log(u)(uvwz), is equal to

    Text Solution

    |

  16. The first term and the last term of a GP are a and k respectively. If ...

    Text Solution

    |

  17. If y=a^(((1)/(1-log(a)x)))" and "z=a^(((1)/(1-log(a)y))), then x is eq...

    Text Solution

    |

  18. Solve the following equation for x and y log(100)|x+y| = 1/2, log(10...

    Text Solution

    |

  19. The greatest possible value of n could be if 9^(n)lt10^(8), given tha...

    Text Solution

    |

  20. Find the solution set of x, for the given inequality log(m)ngt1, where...

    Text Solution

    |