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Logarithm

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  1. 1.The sum of squares of all the real solutions of the equation _(x+1)(2x^2+5x+3)=4- _(2x+3)(…
  2. 2.Let a, b, c be three distinct positive real numbers such that [(2a)^ _ea = (bc)^ _eb] and …
  3. 3.The number of solutions of the equation [ _(x + 1)(2x^2 + 7x + 5) + _(2x + 5)(x + 1)^2 - 4…
  4. 4.Let =(1)/(4)+(1)/(8)+(1)/(16)+ and =(1)/(3)+(1)/(9)+(1)/(27)+ .
  5. 5.The sum of all the real solutions of the equation _(x+3)(6x^2+28x+30)=5-2 _(6x+10)(x^2+6x+…
  6. 6.The product of all solutions of the equation e^5( _ex)^2+3=x^8,x>0, is :
  7. 7.The number of integral solutions x of _(x+(7)/(2))((x-7)/(2x-3))^2 0 is :
  8. 8.Let the domain of the function f(x)=_3_5_7(9x-x^2-13) be the interval (m,n).
  9. 9.If the domain of the function f(x) = _10x^2-17x+7(18x^2 - 11x + 1) is (-,a) (b,c) (d,) - e…
  10. 10.The number of integral solutions x of [ _(x+(7)/(2))((x-7)/(2 x-3))^2 0] is :