Solve for x 3^x=9^3

$3^{x} = 9^{3}$

Step 1

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

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

Step 2

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

$x = 2 \cdot 3$

Step 3

Multiply $2$ by $3$ .

$x = 6$