Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.loga 

A. 4 loga x - 3 loga (x + 5) - 2 loga ( x - 2)
B. 4 loga x +  loga (x + 5) - 2 loga (x - 2)
C. loga x4 + loga (x + 5)-3 - loga (x - 2)2
D. loga x4 + loga (x + 5)1/3 - loga (x - 2)2


Answer: B

Mathematics

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Solve the problem.Graph f(t) = csc t in [-2?, 2?, ?/2] by [-4, 4, 1] using dot mode. Use the graph to identify the domain and period of f.

A. t ? ?n, where n is an integer; 2?
B. t ? ?n, where n is an integer; ?
C. t ?  + ?n, where n is an integer; 2?
D. t ?  + ?n, where n is an integer; ?

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Perform the indicated operation(s). Simplify if possible. - 

A. - 
B.
C. - 
D.

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Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) = |x|

A.

B.

C.

D.

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Evaluate the expression for the given value of x.(-2x)2, x = 4

A. 64 B. -64 C. 32 D. -32

Mathematics