Solve for x Solve 8=2^(x+4)

Solve $8 = 2^{x + 4}$

Rewrite the equation as $2^{x + 4} = 8$ .

$2^{x + 4} = 8$

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

$2^{x + 4} = 2^{3}$

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

$x + 4 = 3$

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

Subtract $4$ from both sides of the equation.

$x = 3 - 4$

Subtract $4$ from $3$ .

$x = - 1$