Solve the equation.

2^ (1 + 2x) = 32

2^1+2x = 2^5, 1 + 2x = 5, 2x = 4, x = 2

Create equivalent expressions in the equation that all have equal bases. 2^ (1 + 2x) = 2^5

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

1+2x = 5

2x=4

x=2 Hence

2^ (1+2 (2)) = 2^ (1+4)

= 2^ (5)

= 32