Use the properties of logarithms to find the exact value of the expression. Do not use a calculator.ln e2

A. 2
B. e
C. 64
D. 8


Answer: A

Mathematics

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Express the function in terms of x.If f(u) = u5 and u = x3 + 8, then express 5u4 ? 3x2 in terms of x alone.

A. (15x5 + 8)4 B. 15(x5 + 8)4 C. x2(15x3 + 8)4 D. 15x2(x3 + 8)4

Mathematics

Evaluate f(x) at the given x. Approximate the result to the nearest hundredth.f(x) = x-1.19 - x4.30, x = 2.80

A. 3.39 B. -83.42 C. -58.78 D. 1.61

Mathematics

Graph the system of inequalities.y ? - x2 - 6x - 4y ? x2 + 6x + 4

A.

B.

C.

D.

Mathematics

Solve the problem.A motorcycle and a car leave an intersection at the same time. The motorcycle heads north at an average speed of 20 miles per hour, while the car heads east at an average speed of 48 miles per hour. Find an expression for their distance apart in miles at the end of t hours.

A. 52t miles
B. 2t miles
C. 52 miles
D. t miles

Mathematics