22n+1=32

Create equivalent expressions in the equation that all have equal bases.

22n+1=25

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

2n+1=5

Move all terms not containing n to the right side of the equation.

Subtract 1 from both sides of the equation.

2n=5-1

Subtract 1 from 5.

2n=4

2n=4

Divide each term by 2 and simplify.

Divide each term in 2n=4 by 2.

2n2=42

Cancel the common factor of 2.

Cancel the common factor.

2n2=42

Divide n by 1.

n=42

n=42

Divide 4 by 2.

n=2

n=2

n=2

Solve for n 2^(2n+1)=32