Properties of Composite Numbers and Mersenne Primes
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Questions and Answers

What is the value of log⎛ 1 ⎞ ⎜ ⎟⎟ ?⎜ ⎟ ⎜ 4 ⎝ 8 ⎠ ⎝ 128 ⎠

  • 5/4
  • 7/4
  • 9
  • 2 (correct)
  • If x – y = 5 and xy = k, then what is the value of x^2 + y^2?

  • 25k
  • 25 + 2k (correct)
  • 25 - 2k
  • 25 - k
  • What is the sum of the positive valued solution to xy = 15 , yz = 35 , zx = 21?

  • 15 (correct)
  • 17
  • 13
  • 19
  • Solve for x: log x 27 + log x 3 = 2.

    <p>$x = 3$</p> Signup and view all the answers

    Determine the width Alex should cut the cloth strips: One piece is 72 inches wide and the other is 90 inches wide.

    <p>18</p> Signup and view all the answers

    (log(a)x)^y + log(a)y simplifies to what?

    <p>$x^y$</p> Signup and view all the answers

    (log4 1) + (log8 1) equals?

    <p>-1</p> Signup and view all the answers

    (log2 5) + (log3 5) equals?

    <p>$\log_{30}5$</p> Signup and view all the answers

    (x – y)^2 simplifies to what?

    <p>$x^2 + 2xy + y^2$</p> Signup and view all the answers

    (x – 1)(x + 1) as a factor of $8x^3 + ax^2 + bx + 2$ determines what values of a and b?

    <p>$a=6$, $b=-6$</p> Signup and view all the answers

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