<h3>
Answer: Choice B) x = 1</h3>
================================================
Explanation:
The problem should read 6^(3-x) = 6^2. The 3-x must be in parenthesis to indicate that all of "3-x" is in the exponent and not just the 3.
Because both bases are 6, and because both sides are equal, this means that the exponents must be equal as well. Therefore 3-x = 2. Let's solve for x
3-x = 2
3-x+x = 2+x .... adding x to both sides
3 = 2+x
2+x = 3 ..... flipping both sides
x+2 = 3
x+2-2 = 3-2 .... subtracting 2 from both sides
<h3>x = 1</h3>
You can use logarithms to solve this problem, but the fact that the bases are both the same allows us to use this faster shortcut.
Answer:
Each cheeseburger was $5.25.
Step-by-step explanation:
He purchased:
A taco for $2.75.
Four cheeseburgers, each for x.
In total, he spent $23.75.
How much was each cheeseburger?
This is the value of x. We have that:
![2.75 + 4x = 23.75](https://tex.z-dn.net/?f=2.75%20%2B%204x%20%3D%2023.75)
![4x = 21](https://tex.z-dn.net/?f=4x%20%3D%2021)
![x = \frac{21}{4}](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B21%7D%7B4%7D)
![x = 5.25](https://tex.z-dn.net/?f=x%20%3D%205.25)
Each cheeseburger was $5.25.
Answer:
-1
Step-by-step explanation:
If you add 4 to both sides you get
x-4+4=-5+4
the -4and+4 cancel out so you get
x=-1
Answer:
The answer is 500
Step-by-step explanation:
500/10=50
5x - 20 = 8x - 65
-20 = 3x - 65
3x = 45
x = 15