There are several ways to confirm that the two expressions are equal. One method is to simply factor the first expression and see it you get a result equal to the second expression. An easier method is to set a value for x and substitute it to the two expressions. If the resulting value is that same, this means that the two expressions are equal.
Answer:

Step-by-step explanation:
The equation to solve is:

1. <u>On the left-hand side </u>use: "The product of a constant by a logarithm is equal to the logarithm raised to the constant"
Thus, the left-hand side is:

2. On the <u>right-hand side</u> use "The sum of two logarithms with the same base is the logarithm of the product":
Then, on the right-hand side:

3. <u>Make them equal</u>:

4. Since the two functions are the same, <u>make the arguments equal</u>:

5. <u>Solve the equation</u>:

The percentage that the store has taken off would be 30%.
Answer:
The answer to your question is 7.8 mi
Step-by-step explanation:
Data
H (4,3)
G (10, 8)
Process
1.- Use the distance between to points formula to find the distance
dHG = 
x1 = 4 y1 = 3
x2 = 10 y2 = 8
2.- Substitution
dHG = 
3.- Simplification
dHG = 
dHG = 
dHG = 
4.- Result
dHG = 7.8 mi
7a + 5a = 6a + 24
<span>6a = 24 </span>
<span>a = 4 </span>
<span>XZ = 6(4) + 24 </span>
<span>XZ = 48 </span>