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If p,q in N" satisfy the equation "x^(s...

If `p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x)`, then

A

relatively prime

B

twin prime

C

Coprime

D

If `log_(q)P` is defined then `log_(p)q` is not defined vice versa

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RESONANCE-DPP-QUESTION
  1. For positive real numbers a (a>1) let pa and qa, be the maximum values...

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  2. let a>2, ainN be a constant. If there are just 18 positive integers sa...

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  3. If p,q in N" satisfy the equation "x^(sqrtx) = (sqrtx)^(x), then

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  4. Which is/are true ?

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  5. Tho solution of the equation 7^(logx)-5^(logx+1)=3.5^(log-x1)-13.7 ^(l...

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  6. Solve ((1)/(2))^(logx^(2))+2gt3.2^(log(-x))

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  7. Find the solution of the inequality 2log(1/4)(x+5)>9/4log(1/(3sqrt(3))...

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  8. If a and b are positive integers such that a^(2)-b^(4)=2009, then a+b^...

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  9. Find number of integral solutionlog(x+3)(x^(2)-x)lt1

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  10. Suppose xy-5x+2y=30, where x and y are positive integers. Find the num...

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  11. Solve : (i)" "((x-1)\(x-2)(x-3))/((x+1)(x+2)(x+3))" "(ii) " "(x^(4)+x...

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  12. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

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  13. If sum(r=0)^(n-1)log(2)((r+2)/(r+1)) prod(r=10)^(99)log(r) (r+1), then...

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  14. Solve for x: log(2)x le 2/(log(2)x-1)

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  15. Solve the in equality log(1/4) (2-x)>log(1/4) (2/(x+1)).

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  16. Given that log(a^(2))(a^(2)+1)=16 find the value of log(a^(32))"("a+1/...

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  17. If (3log(10)x+19)/(3log(10)x-1)=2 log(10)x+1, find solution of equatio...

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  18. Prove that there exist no natural numbers, m and n such that m^(2)=n^(...

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  19. Solve (i)" "(x-1)/(x)-(x+1)/(x-1)lt2" "(ii)" "(x^(2)+4x+4)/(2x^(2)-x-...

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  20. If (u)/(alpha)=(v)/(beta)=then (u)/(alpha)=(v)/(beta)=((au^(n)+bv^(n))...

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