ANSWER

EXPLANATION
According to the power property of logarithms:

The given logarithm is

When we apply the power property to this logarithm, we get,

Step by step. :)
STEP
1
:
Equation at the end of step 1
0 - 7n • (n - 7) = 0
STEP
2
:
Equation at the end of step 2
-7n • (n - 7) = 0
STEP
3
:
Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : -7n = 0
Multiply both sides of the equation by (-1) : 7n = 0
Divide both sides of the equation by 7:
n = 0
Solving a Single Variable Equation:
3.3 Solve : n-7 = 0
Add 7 to both sides of the equation :
n = 7
This is what i got! if i’m wrong i’m so sorry
but i tried. have a amazing day☺️☺️
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²