Solve for x 2^(x+4)-12=20

$2^{x + 4} - 12 = 20$

Step 1

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

Add $12$ to both sides of the equation.

$2^{x + 4} = 20 + 12$

Add $20$ and $12$ .

$2^{x + 4} = 32$

Step 2

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

$2^{x + 4} = 2^{5}$

Step 3

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

$x + 4 = 5$

Step 4

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

Subtract $4$ from both sides of the equation.

$x = 5 - 4$

Subtract $4$ from $5$ .

$x = 1$