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The largest value of x for which the fou...

The largest value of `x` for which the fourth tem in the expansion `(5^2/3(log)_5sqrt(4^(x+44))+1/(5^(log)_5 2^((x-1)+7 3)))` is 336 is.

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`x=0 ` or 1
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The largest value of x for which the fourth tem in the expansion (5((2)/(5))(log)_(5)sqrt(4^(x)+44)+(1)/(5^(log_(5))(2^((x-1)+7))^((1)/(3))))^(8) is 336 is.

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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 4 b. 1or2 c. 0or1 d. 3

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MOTION-BINOMIAL THEOREM -Exercise -3 ( Subjective )
  1. Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx...

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  2. Q.3 If the coefficients of the rth, (r + 1)th & (r + 2)th terms in the...

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  3. The largest value of x for which the fourth tem in the expansion (5^2/...

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  4. Find the term independent of x in the expansion of (i) [sqrt(x/3)+sqr...

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  5. Find the term independent of x in the expansion of [ x^(1//3)+x^(-1...

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  6. In the expansion of (1+x+(7)/(x))^(11) find the term not containing x.

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  7. Find numerically greatest term in the expansion of (2 + 3 x)^9, when x...

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  8. Find numerically the greatest term in the expansion of (3 - 5x)^(n...

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  9. Prove that : .^(n-1)C(r)+.^(n-2)C(r)+.^(n-3)C(r)+.........+.^(r)C(r)...

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  10. Given s = 1 + q + q^2+. . . . + q^n, Sn = 1 +(q+1 /2)+(q+1 /2)^2+........

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  11. (C(0)+C(1))(C(1)+C(2))(C(2)+C(3))...(C(n-1)+C(n))=(C(0).C(1).C(2)........

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  12. If P(n) denotes the product of all the coefficients in the expansion o...

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  13. Prove that (i) C(1)+2C(2)+3C(3)+……+nC(n)=n.2^(n+1) (ii) C(0)+(C(1)...

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  14. 2.C(0)+(2^(2).C(1))/(2)+(2^(3).C(2))/(3)+(2^(4).C(3))/(4)+......+(2^(n...

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  15. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + C(3) x^(3) + … + C(n) x...

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  16. (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + C(3) x^(3) + … + C(n) x^(n)...

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  17. prove that : C0^2+3C1^@+5C2^2+...+(2n+1)Cn^2=((n+1)2n!)/(n!)^2

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  18. If (1 + x)^(n) = C(0) = C(1) x + C(2) x^(2) + …+ C(n) x^(n) , find...

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  19. Prove that sqrt(C1) +sqrt(C2) +sqrt(C3)+...+sqrt(Cn)le 2^(n-1) +(n-1)/...

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  20. If C(r ) = (n!)/(r!(n - r)!), then prove that sqrt(C(1)) + sqrt(C(2)...

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