Assume that x is a positive number. Use the properties of logarithms to write the expression as the logarithm of one quantity.

a.

b.

c.

d.

e.


d.

Mathematics

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Solve the problem.A manufacturer uses raw materials to produce p products each day. Suppose that each delivery of a particular material is $d, whereas the storage of that material is x dollars per unit stored per day. (One unit is the amount required to produce one product). How much should be delivered every x days to minimize the average daily cost in the production cycle between deliveries?

What will be an ideal response?

Mathematics

Northwest Airlines has been acquired by Delta. This is an example of a ____ acquisition.

A. parallel B. horizontal C. vertical D. network

Mathematics

Provide an appropriate response.Find the exact area of the region bounded by the graphs of x = y2 and x - y - 2 = 0. Also sketch the region.

What will be an ideal response?

Mathematics

Find the indicated sum. Find the sum of the first 12 terms of the geometric sequence:  , - , - , . . .

A. - 
B. - 
C. - 194
D. - 195

Mathematics