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.2logy3 + logy2

A. 2logy6
B. logy18
C. logy3
D. logy12


Answer: B

Mathematics

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The graph of a logarithmic function is shown. Select the function which matches the graph.

A. f(x) = log3x - 2 B. f(x) = log3(x - 2) C. f(x) = log3x D. f(x) = log3(x + 2)

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Differentiate the following implicitly to find dy dx . Then find the slope of the curve at the given point.

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Differentiate.f(t) = ln [(t4 - 2)(t5 + 6)]

A. ln[4t3(t5 + 6) + 5t4(t4- 2)]
B.
C.
D.

Mathematics

Solve the problem. A function that might describe the entire Laffer curve is where y is the government revenue in hundreds of thousands of dollars from a tax of x percent, with the function valid for  Find the revenue from a tax rate of 50%. Round your answer to the nearest billion.

A. $963 billion B. $908 billion C. $838 billion D. $938 billion

Mathematics