Answer:
![\log_{2} [\frac{x^{3}(x + 4)}{3}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%28x%20%2B%204%29%7D%7B3%7D%5D)
Step-by-step explanation:
We have to write the following logarithmic expression as a single logarithm.
The given expression is
![3\log_{2} x - [\log_{2} 3 - \log_{2}(x + 4)]](https://tex.z-dn.net/?f=3%5Clog_%7B2%7D%20x%20-%20%5B%5Clog_%7B2%7D%203%20-%20%5Clog_%7B2%7D%28x%20%2B%204%29%5D)
= 
{Since, 
, from the properties of logarithmic function }
= 
{Since, 
, which also a logarithmic property}
= ![\log_{2} [\frac{x^{3}}{\frac{3}{x + 4}}]](https://tex.z-dn.net/?f=%5Clog_%7B2%7D%20%5B%5Cfrac%7Bx%5E%7B3%7D%7D%7B%5Cfrac%7B3%7D%7Bx%20%2B%204%7D%7D%5D)
= (Answer)
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
This is based on understanding what dilation means in a graph transformation.
<em />
<em>The dilation from first square directly to sixth square will be; (x,y) -> (243, 243)</em>
<em />
- In transformations, dilation of an object involves producing an image of the object that is the same shape but not the same size.
This means that if we want to dilate a square, we will produce a bigger square of a different size.
- We are told one corner of the first square she drew is (2, 2). This means that one side of the square is 2 units as the four sides of a square are equal.
- For the second square, she dilates the first one using (x, y) -> (3x, 3y).
This means the corner that was (2, 2) will now be (3 × 2), (3 × 2) = (6, 6)
- For the third square, it will be; (3 × 6), (3 × 6) = (18, 18)
- For the fourth square, it will be; (3 × 18), (3 × 18) = (54, 54)
- For the fifth square, it will be; (3 × 54), (3 × 54) = (162, 162)
- For the sixth square, it will be; (3 × 162), (3 × 162) = (486, 486)
Since first square was (2, 2), then it means dilation from first square directly to sixth square will be; (x,y) -> (486/2, 486/2)
⇒ (x,y) -> (243, 243)
Read more at; brainly.com/question/2523916
I don’t see a picture to answer this
Answer:
8/7
Step-by-step explanation:
(2,-5) (9,3)
3-(-5)=8 because you apply your keep change change
9-2= 7
so 8/7
