Prove that if n is an integer, then 2 ≡ 0 1 ( 4). [Hint: look at when n is odd and when n is even].

1. Add 4 to each side of the equation:

2. Divide both sides of the equation by 3:

3.Take the log of each side:

4.Use the Exponential Property and write in decimal form:

5.Divide each side by log 2:

6.Find the value of  and substitute:

7. Add 5 to each side of the equation:

8. Simplify:

Step-by-step explanation: