Solve for x 2^x=8^3

$2^{x} = 8^{3}$

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

$2^{x} = 2^{3 \cdot 3}$

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

$x = 3 \cdot 3$

Multiply $3$ by $3$ .

$x = 9$