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Solve the equation x^(logx(x+3)^2 )=16...

Solve the equation `x^(log_x(x+3)^2 )`=16

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`x in (-3,1)cup (3,4)`
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PATHFINDER-QUADRATIC EQUATION AND EXPRESSION-QUESTION BANK
  1. Find all real values of a for which the equation x^4+(a-1)x^3+x^2+(a-...

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  2. Solve the equation (x+2)(x+3)(x+8)(x+12)=4x^2

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  3. Solve the equation x^(logx(x+3)^2 )=16

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  4. If x is real, find the values of k for which abs(x^2+kx+1)/abs(x^2+x+1...

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  5. Let S be the set of all non-zero real numbers alpha such that the quad...

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  6. Let alpha and beta be the roots of the equation x^2-6x-2=0. If an=alph...

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  7. If alpha,beta are the roots of x^2-px+1=0 and gamma is a root of x^2+p...

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  8. The quadratic expression (2x+1)^2-px+qne0 for any real x if

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  9. Given that x is a real number satisfying (5x^2-26x+5)/(3x^2-10x+3)lt0,...

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  10. Let f : R to R be defined as f(x) =(x^2-x+4)/(x^2+x+4). Then the range...

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  11. If 2 + i and sqrt5-2i are the roots of the equation (x^2+ax+b)(x^2+cx+...

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  12. Which of the following is/are always false ?

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  13. The quadratic equations p(x) =0 with real coefficients has purely imag...

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  14. If a in R and the equation -3(x-[x]^2)+2(x-[x])+a^2=0 (where [x] denot...

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  15. Let alpha and beta be the roots of equation px^2+qx+r=0,pne0. If p, q,...

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  16. In a Delta ABC, tanA and tanB are roots of pq(x^2+1)=r^2x. Then DeltaA...

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  17. If alpha,beta are the roots of the quadratic equation x^2+px+q=0, then...

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  18. Let p,q be real numbers. If alpha is the root of x^2+3p^2x+5q^2=0, bet...

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  19. Let alpha,beta be the roots of x^2-x-1=0 and Sn=alpha^n+beta^n, for al...

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  20. If alpha,beta are the roots fo ax^2+bx+c=0 (ane0) and alpha+h, beta+h ...

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