Home
Class 11
MATHS
the value of x , for which the 6th term...

the value of `x` , for which the 6th term in the expansions of`[2^(log_2) (sqrt(9^((x-1)+7)))+1/(2^(1/5)(log)_2(3^(x-1)+1))]^7i s84` , is equal to a. 4 b. 3 c. `2` d. `1`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos

Similar Questions

Explore conceptually related problems

The value of x for which the sixth term in the expansion of [2^(log)2sqrt(9^(x-1)+7)+1/(2^(1/5)(log)_2(3^((x-1)+1)))]^7 is 84 is a. 4 b. 1or2 c. 0or1 d. 3

For what value of x is the ninth term in the expansion of (3^(log_3 sqrt(25^(x-1) +7)) + 3^(-1/8 log_3 (5^(x-1) +1)))^10 is equal to 180

The largest value of x for which the fourth tem in the expansion (5^((2/5)(log)_5sqrt(4^(x)+44))+1/(5^(log_5) (2^((x-1)+7))^(1/3)))^8 is 336 is.

If ninth term in the expansion of (3^(log)_3(9^((x-1)+7))+1/(3^ -1/8(log)_3(3^((x-1)+1))))^(11)"i s"660 ,"t h e nv a l u eo f"x"i s" 4 (b) 1 or 2 (c) 0 or 1 (d) 3

Find the sum of possible real values of x for which the sixth term of (3^(log_3 sqrt(9^|x-2|))+7^(1/5 log_7 (3^(|x-2|-9))))^7 equals 567.

Find the sum of possible real values of x for which the sixth term of (3^(log_3 sqrt(9^|x-2|))+7^(1/5 log_7 (3^(|x-2|-9))))^7 equals 567.

The number of values of x satisfying the equation log_(2)(9^(x-1)+7)=2+log_(2)(3^(x-1)+1) is :

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

If the 6th term in the expansion of (1/(x^(8/3))+x^2(log)_(10)x)^8 is 5600, then x equals 1 b. (log)_e 10 c. 10 d. x does not exist

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
  1. Statement 1: Greatest term in the expansion of (1+x)^(12), when x=11//...

    Text Solution

    |

  2. Statement 1: Remainder w h e n3456^2222 is divided by 7 is 4. Statemen...

    Text Solution

    |

  3. the value of x , for which the 6th term in the expansions of[2^(log2)...

    Text Solution

    |

  4. Each question has four choices a, b, c and d, out of which only one is...

    Text Solution

    |

  5. The number 51^(49)+51^(48)+51^(47)+........+51+1 is divisible by a. 10...

    Text Solution

    |

  6. If sum(r=0)^(n) (r)/(""^(n)C(r))= sum(r=0)^(n) (n^(2)-3n+3)/(2.""^(n)C...

    Text Solution

    |

  7. If (1+x)^n=C0+C1x+C2x^2+.......+Cn x^n , then show that the sum of th...

    Text Solution

    |

  8. For any positive integer (m,n) (with ngeqm), Let ((n),(m)) =.^nCm Prov...

    Text Solution

    |

  9. If sum(r=0)^n{ar(x-alpha+2)^r-br(alpha-x-1)^r}=0, then prove that bn-(...

    Text Solution

    |

  10. Let a=(2^(1//401)-1) and for each ngeq2,l e tbn=^n C1+^n C2dota+^n C3...

    Text Solution

    |

  11. Prove that sum(r=0)^n^n Cr(-1)^r[i^r+i^(2r)+i^(3r)+i^(4r)]=2^n+2^(n/2+...

    Text Solution

    |

  12. Find the coefficient of x^n in (1+x/(1!)+(x^2)/(2!)+........+(x^n)/(n ...

    Text Solution

    |

  13. Prove that (^n C0)/x-(^n C0)/(x+1)+(^n C1)/(x+2)-+(-1)^n(^n Cn)/(x+n)=...

    Text Solution

    |

  14. If n is a positive integer, prove that 1-2n+(2n(2n-1))/(2!)-(2n(2n-1)(...

    Text Solution

    |

  15. Given, sn=1+q+q^2+.....+q^n ,Sn=1+(q+1)/2+((q+1)/2)^2+...+((q+1)/2)^n...

    Text Solution

    |

  16. The sum of 1+n(1-1/x)+(n(n+1))/(2!)(1-1/x)^2+oo will be a. x^n b. x^(-...

    Text Solution

    |

  17. sum(k=1)^ook(1-1/n)^(k-1)=>? a.n(n-1) b. n(n+1) c. n^2 d. (n+1)^2

    Text Solution

    |

  18. The coefficient of x^4 in the expansion of {sqrt(1+x^2)-x}^(-1) in asc...

    Text Solution

    |

  19. 1+1/3x+(1xx4)/(3xx6)x^2+(1xx4xx7)/(3xx6xx9)x^3+------ is equal to a. x...

    Text Solution

    |

  20. The value of sum(r=1)^(15)(r2^r)/((r+2)!) is (a).((17)!-2^16)/((17)!) ...

    Text Solution

    |