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N76 [4]
3 years ago
8

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

Mathematics
1 answer:
inysia [295]3 years ago
6 0
<h3>Answer: Check out the screenshots below.</h3>

=========================================

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.

----------------------------

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.

----------------------------

Part 3

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

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