Answer: x = {-4, 5}
<u>Step-by-step explanation:</u>
log (10x + 200) = log (x²) + log (10)
log (10x + 200) = log (10x²)
10x + 200 = 10x²
0 = 10x² - 10x - 200
0 = x² - x - 20
0 = (x - 5)(x + 4)
0 = x - 5 0 = x + 4
x = 5 x = -4
Check for extraneous solutions:
10x + 200 > 0 x² > 0
x = 5 10(5) + 200 > 0 (5)² > 0 both are satisfied
x = -4 10(-4) + 200 > 0 (-4)² > 0 both are satisfied
Both solutions are valid!
The number of picture frames he can put on the wall is 178 picture frames.
The wall is rectangular and it is 9 feet tall and 11 feet wide. let covert to inches.
9 feet = 108 inches
11 feet = 132 inches
<h3 /><h3>What is area:</h3>
The area is the space occupied by 2 dimensional figure. Let's find the area of the wall. Therefore,
area = lw
area = 108 × 132 = 14256 inches²
Therefore, let's find the area of the each picture frame. The frame is 8 inches by 10 inches.
area = 8 × 10 = 80 inches²
The number of picture you can put on the wall can be computed as follows:
He can put 178 pictures on the wall.
learn more on area here: brainly.com/question/14442082?referrer=searchResults
The answer is, "<span>B. Solve c + 7 = 2c − 13 to find the value of c."
Hoped I helped!
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here we have 3X to 5 seventh power in radical form

we need write this in radical form we knwo that 
so ![3x^{5/7} =\sqrt[7]{3x^{5}}](https://tex.z-dn.net/?f=%203x%5E%7B5%2F7%7D%20%3D%5Csqrt%5B7%5D%7B3x%5E%7B5%7D%7D%20%20%20)
this will be the radical form .
When you owe money it is a negative because when you earn money you have to pay it back