Question

NO LINKS!!! Please help fill in the blanks. Part 7a.​

Answer 1

Answer: Check out the screenshots below.

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Explanations:

Part 1

For the first box, we use the log rule that log(A)+log(B) = log(A*B)

Then in the second box, we'll convert to exponential form. The logs are assumed to be base 10.

The third box then factors and uses the zero product property.

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Part 2

We check each solution generated in part 1.

Plugging x = 5/3 will lead to the same number on each side. Therefore, x = 5/3 is a true solution.

In contrast, plugging x = -2 leads to a false equation. Recall that the domain of y = log(x) is x > 0. This means we cannot replace x with negative numbers. The value x = -2 is extraneous.

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Part 3

There's not much to explain here that isn't already done so on the screenshot below.