Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.[3 ln (x + 2) - ln x - ln(x2 - 2)]

A. ln 
B. ln 
C. ln 
D. ln 


Answer: D

Mathematics

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Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.

1. An obtuse triangle has at least two obtuse angles. 2. All regular quadrilaterals have four lines of symmetry. 3. All regular polygons tessellate the plane. 4. The parallel sides in a trapezoid are called the legs of the trapezoid. 5. Regular polygons are polygons with all sides congruent and all angles congruent.

Mathematics

Solve the inequality, then graph the solution.30x + 30 > 5(5x + 12)

A. (-?, 6)

B. (-?, 6]

C. (6, ?)

D. [6, ?)

Mathematics

Match the function f with its graph.f(x) = log2(x - 3)

A.

B.

C.

D.

Mathematics

Solve by the method of your choice.x2 + 18x + 70 = 0

A. 9 ± 
B. 9 + 
C. -18 + 
D. -9 ± 

Mathematics