To solve this equation, we can combine the exponents on the left side of the equation:

x^2 * x^3 * x = x^(2+3+1) = x^6

Now we have the equation:

x^6 = 2^9

To solve for x, we can take the sixth root of both sides:

(x^6)^(1/6) = (2^9)^(1/6)

x = 2^(9/6)

Simplifying the right side:

x = 2^(3/2)

Therefore, x is equal to the square root of 2 cubed, or x = √(2^3), which is approximately x = 2.828.