for the first one it is the second option because of one property of logarithms:
log(a)-log(b)=log
for the second one using the same property we can say that we third option is correct and not the second one but we use one more property of the logarithm
loga(b)^x=xloga(b) the power of the logarithm becomes a fator and
is equal to 
Here you have black dots at x = {0, 1, 2, 4, 4.5, 5}.
For each of these x-values, there is one and only one associated y-value. This fact tells us that the graph does represent a function.
Answer: 123 square feet
Step-by-step explanation: The question is a little odd, but I can break it down easily. It wants us to find the area of a three foot border around his room.
First, the whole area of his room is 20 x 24 = 480
Next, we have to make the measurements 3 feet smaller on each wall, so 17 x 21 = 357
Finally, to find the area of the border, we simply do 480 - 357 = 123
He needs to buy 123 square feet of carpeting
Hope this helps!
Answer: Vertex (-3, 1) and x-intercept (-4, 0), (-2, 0)