Answer:
= n.
Step-by-step explanation:
Given : , b is any positive number not equal to 1 and n is any number.
To find : Evaluate the expression .
Formula used : 
. = y ∙ 
(x) and
![log_{b}(b) = 1.Solution : We have [tex]log_{b} b^{n}](https://tex.z-dn.net/?f=log_%7Bb%7D%28b%29%20%3D%201.%3C%2Fp%3E%3Cp%3ESolution%20%3A%20We%20have%20%20%5Btex%5Dlog_%7Bb%7D%20b%5E%7Bn%7D)
.
By logarithm rule : . = y ∙ (x).
Then = n∙ (b).
By logarithm rule : ![log_{b}(b) = 1.Now, n∙ [tex]log_{b}](https://tex.z-dn.net/?f=log_%7Bb%7D%28b%29%20%3D%201.%3C%2Fp%3E%3Cp%3ENow%2C%20n%E2%88%99%20%5Btex%5Dlog_%7Bb%7D)
(b) = n.
Therefore, = n.
Answer:
ddecimal is a fraction
Step-by-step explanation:
Oh a decimal is a fraction written in a special form
Answer:
1. new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16
3. The new area is 1/9 of the original area.
Step-by-step explanation:
1. side length1 = x
side length2 = y
2x + 2y = perimeter
2(4x) + 2(4)y = new perimeter
8x + 8y = new perimeter
new perimeter = 4 times the old perimeter
2. The area will go up by a factor of 16. This is because the area formula has them being multiplied together and thus it will make the area go up by that much.
3. Let the length of the rectangle be x
Let width of rectangle be y
Area of rectangle = L*W
Now Each side length of the rectangle is multiplied by 1/3
So, new area = (1/3)L * (1/3)W
=(1/9)LW
So, the new area is 1/9 of the original area.
Answer: 144 inches.
Step-by-step explanation:
1. To solve this problem you must remember the formula for calculate the perimeter of a rectangle, which is shown below:
Where 
is the lenght and 
is the width.
2. You know the perimeter and the width, then you can solve for the length, as following:
