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The value of x for which the sixth term ...

The value of x for which the sixth term in the expansion of
`[2^(log_(2)(sqrt(9^(x-1)+7)))+(1)/(2^(1//5log_(2)(3^(x-1)+1))` is 84, is

A

4 or 2

B

3 or 1

C

1 or 2

D

1 or 4

Text Solution

Verified by Experts

The correct Answer is:
C
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
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  3. The value of x for which the sixth term in the expansion of [2^(log(...

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  4. If in the expansion of (a+x)^(n),P and Q represent the sum of odd and ...

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  5. If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x...

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  6. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

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  7. The sum (1)/(2)""^(10)C(0)-""^(10)C(1)+2.""^(10)C(2)-2^(2)*""^(10)C(3)...

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  8. The value of: ""^(15)C(0)^(2)-""^(15)C(1)^(2)+""^(15)C(2)^(2)- . . ....

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  9. If the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has 13t...

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  10. The fourth term in the binomial expansion of (x^(2)+(2)/(x^(2)))^(n)...

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  11. Sum to (n+1) terms of the series: (C(0))/(2)-(C(1))/(3)+(C(2))/(4)-(C(...

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  12. Value of 2C(0)+(2^(2))/(2)C(1)+(2^(3))/(3)C(2)+ . . .+(2^(11))/(11)C(1...

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  14. If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...

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  15. The coefficient of x^(5) in (1+x^(2))^(5)(1+x)^(4) is

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  16. In the expansion of (x^(2)+(2)/(x))^(n) for positive integer n has a t...

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  17. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(16) co...

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  18. The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) i...

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  19. If the coefficient of 4^(th) term in the expansion of (x+(alpha)/(2...

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  20. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

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