Answer: 
Step-by-step explanation:
Properties of logarithm:
Consider,
![2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y}) \ \ \ \ [\text{By (iii)}]](https://tex.z-dn.net/?f=2%5Clog%20x-%5Clog%20y%2B2%20%5Clog%20z%5C%5C%5C%5C%20%3D%5Clog%20x%5E2-%5Clog%20y%2B%5Clog%20z%5E2%5C%20%5C%20%5C%20%5C%20%5Ctext%7B%5BBy%20%28i%29%5D%7D%5C%5C%5C%5C%3D%20%5Clog%20x%5E2%2B%5Clog%20z%5E2-%5Clog%20y%5C%5C%5C%5C%3D%5Clog%28x%5E2z%5E2%29-%5Clog%20y%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20%7D%20%28ii%29%20%5D%5C%5C%5C%5C%3D%5Clog%28%5Cdfrac%7Bx%5E2z%5E2%7D%7By%7D%29%20%20%20%20%5C%20%5C%20%5C%20%5C%20%5B%5Ctext%7BBy%20%28iii%29%7D%5D)
Answer:
100 and 2
Step-by-step explanation:
If we are trying to reduce the radical, we know that 100 times 2 is 200.Therfore,Those are two possible numbers to reduce the radical.
Hope this is right !
The first solution involves the volume of a pyramid. With the parameters, the volume is given as: 51cm³
<h3>What is the Volume of a Pyramid?</h3>
The volume of a pyramid is given as:
V = (lwh)/3
Where:
- L = base length
- w = base width
- h = pyramid height.
Hence, the volume of the pyramid is given as:
(6 x 5.2 x 4.9)/3
= 152.88/3
= 50.96
≈ 51 cm³
<h3>
What is the volume of the juice container?</h3>
Assuming that it is a cuboid, the volume for the shape of a cuboid is given as:
L x B x H
Where:
L = Length = 2cm
B (Width) = 34cm
H = Height = 12.2
Hence the Volume =
2 x 34 x 12.2
= 829.6
≈ 830 cm³
<h3>
What is the volume of the pit?</h3>
We are not given it's geometric description so we assume that it is a Cuboid.
Recall that the Volume of a Cuboid = L x B x H
Hence the Volume of the pit is:
7 x 5 x 8
<h3>
= 280 cm³
How much space can a box that measures 50cm on each edge hold?
</h3>
From the question, we can infer that we are dealing with a Cube.
The volume of a cube is given as L³.
Recall that L = 50cm
Hence, the volume is = 50³
= 125,000 cm³
<h3>
What is the volume of a rectangular prism?
</h3>
The formula for the volume of a rectangular prism is:
L x W x H; where
L (Length) = 130cm
W (Width) = 70cm
H (Height) = 110cm
→ 130 x 70 x 110
= 1,001,000 cm³
Learn more about volume at:
brainly.com/question/1972490
#SPJ1
