Answer:
3/5
Step-by-step explanation:
In the equation
divide both sides by to get
Take the base-3/2 logarithm of both sides:
Alternatively, you can divide both sides by :
Then take the base-2/3 logarith of both sides to get
(Both answers are equivalent)
Answer:
x = 2
Step-by-step explanation:
10x + 1 = 2(3x + 5) - 1
- mutlipy the 2 to the 3x and the 5
- you should get 10x + 1 = 6x + 10 - 1
- now you have to add the combine terms
- so it will now be 10x + 1 = 6x + 9
- now you.have to get the x's on one side and the constants (numbers alone) on the other side
- so you can subtract the 6x on both sides
- once you do that you wil get 4x + 1 = 9
- After you get this equation you will have to subtract the one from both sides.
- you will get 4x = 8
- All you have to do it divide 4 on both sides. Your final answer is x = 2.
This is a simple consequence of the Zero-sum problem: https://en.wikipedia.org/wiki/Zero-sum_problem
Let's form the difference of the two expressions and see what we can learn.
(2y -x) -(2x -y) = 2y -x -2x +y = 3y -3x = 3(y -x)
Since y > x, this is positive, so 2y -x is greater than 2x -y.