Write the expression as a single logarithm. Leave your answer in simplest form without negative or fractional exponents.2 log2(3x - 6) - 3 log2(5x - 1)

A. log2[(3x - 6)2 - (5x - 1)3]
B.  
C. log2 
D. log2[(3x - 6)2(5x - 1)3]


Answer: C

Mathematics

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Solve the following system by any appropriate method. If there is no real number solution, so state.3x2 - y2 = 14x2 + 2y2 = 14

A. (, 4), (, -4), (-, 4), (-, -4)
B. (, 2), (, -2), (-, 2), (-, -2)
C. (, 2), (, -2), (-, 2), (-, -2)
D. no real solution

Mathematics

Find the inverse of the following one-to-one function.f(x) = 7x - 4

A. f-1(x) =  + 4
B. f-1(x) = 
C. f-1(x) = 
D. Not invertible

Mathematics

Use the Binomial Theorem to expand the binomial and express the result in simplified form.(x2 - 4y)4

A. x8 - 16x6y + 96x4y2 + 16x2y3 + 256y4 B. x8 - 4x6y + 96x4y2 - 128x2y3 + 256y4 C. x4 - 16x3y + 96x2y2 - 256xy3 + 256y4 D. x8 - 16x6y + 96x4y2 - 256x2y3 + 256y4

Mathematics

Determine whether the graph of the polynomial has y-axis symmetry, origin symmetry, or neither.f(x) = (x - 2)2(x2 - 25)

A. y-axis symmetry B. origin symmetry C. neither

Mathematics