Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log4

A. 3 - log4 
B. 3 log4 4 -  log4(x - 1)
C. 3 -  log4(x - 1)
D. log4 64 - log4 


Answer: C

Mathematics

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Find the indicated composite for the pair of functions.Given f(x) =   and g(x) = , find (f ? g)(x).

A.
B.
C.
D.

Mathematics

Find the indicated roots.Fifth roots of i; trigonometric form

A. i, cos 72° + i sin 72°, cos 144° + i sin 144°, cos 216° + i sin 216°, cos 288° + i sin 288° B. -i, cos 36° + i sin 36°, cos 108° + i sin 108°, cos 252° + i sin 252°, cos 324° + i sin 324° C. i, cos 18° + i sin 18°, cos 162° + i sin 162°, cos 234° + i sin 234°, cos 306° + i sin 306° D. 1, cos 36° + i sin 36°, cos 108° + i sin 108°, cos 252° + i sin 252°, cos 324° + i sin 324°

Mathematics

Use the compound interest formula to determine the future value of the given principal P.$12,000 at 7% compounded quarterly for 9 years

A. $10,408.89 B. $22,061.51 C. $22,023.48 D. $22,408.89

Mathematics

Solve the system of equations by graphing. If the system is inconsistent or the equations are dependent, say so.6x + y = 166x + y = 52

A. {(12, 4)} B. {(14, -68)} C. {(x, y)|6x + y = 16} (dependent equations) D. ? (inconsistent system)

Mathematics