Using the properties of logarithms, to re-write the following two statements: In VTy a) Expand: b) Condense: log(x) + log (a2 – 16) – log(4) – log(x – 4) For both of these problems, your work must be submitted after you finish the quiz. Show a logical progression using the properties of logarithms to expand and condense. Be sure each answer is simplified as much as possible. You can choose to use the mathematical formatting by clicking the three dots on the left and looking for the "square root of x" option.

Q: xvx² – 1 In (х — 3)

A: Given,           lnxx2-1x-32

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A: The solution is given below.

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A: WE PROVE IT BY CONTRADICTION

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A:

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A:

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A:

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A: To use the laws of logarithms to combine the expression

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A: Given thatf(x) = a.bxg(x) = c.dxh(x)= p.qxAlso the graph of f(x),g(x),h(x) are provided in the…

Q: 1. a) Write the following expression as a single logarithm with a coefficient of 1. log(x² +3x +2)–…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.