Write the expression as a logarithm of a single expression. Assume that variables represent positive numbers.4 logbm - logbn

A. logb 
B. logb(m4 - n)
C. logb
D. logbm4 ÷ logbn


Answer: A

Mathematics

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Provide an appropriate response.The cost C of processing exhaust gases so that you remove all but x percent of the pollutants is given by  Find the values of x for which C < 0. Discuss the meaning of the results.

What will be an ideal response?

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Solve the problem.A manufacturer's cost is given by C = 500 + 512, where C is the cost and n is the number of parts produced. Describe the transformations needed to obtain the graph of this function from the graph of 

A. Stretch vertically by a factor of 500 and shift up 512 units. B. Stretch vertically by a factor of 500 and shift 512 units to the right. C. Stretch vertically by a factor of 500 and shift 512 units to the left. D. Shift 500 units to the left and shift up 512 units.

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Find z1z2. Express the answer in standard form.z1 = 3(cos 45° + i sin 45°)z2 = 2(cos 90° + i sin 90°)

A. 3 - 12i
B. 2 - i
C. -6 - 6i
D. -3 + 3i

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Subtract. Write the answer in lowest terms as a mixed number.

A. 6
B. 7
C. 7
D. 8

Mathematics