Simplify the expression.Write log6(x - 7) + log6(x + 4) as a single logarithm.

A. log₆
B. log₆(x² - 3x - 28)
C. log₆(x² + 3x + 28)
D. log₆(-11)

Answer: B

Mathematics

Change the exponential expression to an equivalent expression involving a logarithm.8x = 64

A. log64 x = 8 B. log64 8 = x C. logx 64 = 8 D. log8 64 = x

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Mathematics

Factor the polynomial by removing any common monomial factor.2x3 + 6x

A. 2x(x2 + 4x) B. 2x(x2 + 3x) C. 2x2(x + 3) D. 2x(x2 + 3)

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Mathematics

Factor out the greatest common factor.24y - 72

A. 72 B. 24(y - 3) C. No common factor (except 1) D. 24y

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Mathematics

Find the equation of the line that has the given slope and passes through the given point.m = -4, (-5, 5)

A. x = -4y + 15 B. x = -4y - 15 C. y = -4x - 15 D. y = -4x + 15

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Mathematics