Assume that x, y, and a are positive numbers. Use the properties of logarithms to write the expression 
in terms of the logarithms of x and y.
a. 
b. 
c. 
d. 
e. 
e.
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Solve the problem.When an object falling from rest encounters air resistance proportional to the square of its velocity, the distance it falls (in meters) after t seconds is given by
where m is the mass of the object in kilograms, g = 9.8 m/s2 is the acceleration due to gravity, and k is a physical constant. A BASE jumper 
leaps from a tall cliff and performs a ten-second delay (she free falls for 10 s and then opens her chute). How far does she fall in 10 s? Assume 
style="vertical-align: -4.0px;" /> Round the answer to one decimal place if necessary. A. 14.6 m B. 331.1 m C. 365 m D. 73 m
Solve the problem.A measure of diversity of species in an ecological community is given by the formula 
where P1, P2, ... ,Pn are the proportions of a sample belonging to each of n species found in the sample. A sample of a community shows three species with 48 individuals each. Find the index of diversity H.
A. 1 B. 0.53 C. 2.1 D. 1.6
Find the indicated maximum or minimum values by the linear programming method. The constraints are shown below the objective function.Minimum C:C = 9x + 3yy ? 1x + y ? 10x + 2y ? 105x + y ? 10
A. 
B. 
C. 84
D. 30
Solve the problem.If 7x = 5,what does 7-3x equal?
A. -125
B. 
C. 
D. 125