|Example: 4x-1 = 2x+6, find the x value?|
Solution: Make the bases equal so that we can equate exponents.
Now 4x-1 = (22)x-1 = 22(x-1) = 22x-2.
Therefore 22x-2 = 22x+6
As the bases are equal, the exponents must be equal.
That is 2x-2 = x+6
2x-x = 6+2
Therefore x = 8.
Directions: Solve the following problems. Also write at least ten examples of your own.