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For what value of x is the ninth term in...

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.

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE
  1. Find the rth term from the end in the expansion of (x+a)^n.

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  2. Determine the value of x in the expansion of (x + x^(log(10)x))^(5...

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  3. For what value of x is the ninth term in the expansion of : {3^(log3 s...

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  4. Find (x+1)^(6) +(x-1)^(6). Hence evaluate (sqrt(2) +1)^(6) +(sqrt(2)-...

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  5. Write the middle term in the expansion of (x+1/x)^4.

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

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  7. Find the middle term in the expansion of : (1/2a+1/3b)^8.

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  8. Prove that the middle term in the expansion of (2x+3/x)^20 is 19.17. 1...

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  9. Find the middle terms in the expansion of (3-x^(3)/6)^(7)

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  10. Find the middle terms in the expansion of : (x/3+9y)^10.

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  11. Find the middle terms in the expansion of : (x/y+y/x)^(2n+1).

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  12. Show that coefficient of the middle term of (1+ x)^(2n) is equal to th...

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  13. Write and simplify the term involving x^5 in the expansion of (x-1/x)^...

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  14. Determine the term involving x^3 in (5-2x)^6.

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  15. Find the coefficient of x^(10) in the expansion of (2x^(2)-(3)/(x))^(...

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  16. Find the coefficient of the term involving x^10 in the expansion of (x...

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  17. Find the coefficient of the term involving x^2 in the expansion of (3x...

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  18. Find the coefficient of x^5 in (x+ 3)^6.

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  19. Find the coefficient of x^(8) in the expansion of (x^(2) - (1)/(x)...

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  20. Find a positive value of m for which the coefficient of x^2 in the exp...

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