Properties of Composite Numbers and Mersenne Primes

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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.

$x = 3$ 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.

18 Signup and view all the answers

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

$x^y$ Signup and view all the answers

(log4 1) + (log8 1) equals?

-1 Signup and view all the answers

(log2 5) + (log3 5) equals?

$\log_{30}5$ Signup and view all the answers

(x – y)^2 simplifies to what?

$x^2 + 2xy + y^2$ 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?

$a=6$, $b=-6$ Signup and view all the answers

Properties of Composite Numbers and Mersenne Primes

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Questions and Answers

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

If x – y = 5 and xy = k, then what is the value of x^2 + y^2?

What is the sum of the positive valued solution to xy = 15 , yz = 35 , zx = 21?

Solve for x: log x 27 + log x 3 = 2.

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

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

(log4 1) + (log8 1) equals?

(log2 5) + (log3 5) equals?

(x – y)^2 simplifies to what?

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

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