Final answer:
To solve for x in the equation 2^2x * 3^3x = 2^3 * 3^3, equate the exponents and solve for x.
Step-by-step explanation:
To solve for x in the equation 22x * 33x = 23 * 33, we can equate the exponents on both sides. Since the bases (2 and 3) are the same, we can set the exponents equal to each other:
2x = 3
Solving for x, we divide both sides of the equation by 2:
x = 3/2