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=2Hence
2^(1+2(2)) = 2^(1+4)
                 = 2^(5)
                 = 32