Use mathematical induction to prove that 2^n = 4.

Can you please explain each and every step you took? Proving inequalities with mathematical induction confuses the life out of me.

EXAMPLE 6 Use mathematical induction to prove that 2 nt for every integer n with n 2 4. (Note that this inequality is false for n = 1, 2, and 3.) Solution: Let Po1) be the proposition that 2" BASIS STEP: To prove the inequality for n 2 4 requires that the basis step be P(4). Note that (4) is true, because 24 = 16