Let's solve the equation step by step:

[(x-3)^2 + 3^2] * 2^3 = 2.6^2

First, simplify the terms inside the brackets:

[(x-3)^2 + 9] * 2^3 = 2.6^2

Next, simplify the exponents:

[(x-3)^2 + 9] * 8 = 6.76

Now, distribute the 8 to the terms inside the brackets:

8(x-3)^2 + 72 = 6.76

Subtract 72 from both sides:

8(x-3)^2 = 6.76 - 72

Combine like terms:

8(x-3)^2 = -65.24

Divide both sides by 8:

(x-3)^2 = -8.155

Since the square of any real number is always positive or zero, there are no real solutions to this equation.