If 4x−4x−1=24,then(2x)x equals

The equation you've given seems to have a typo. It's currently written as 4x - 4x - 1 = 24, which simplifies to -1 = 24, and that's not possible.

Could you please check the equation? If it's 4x - (4x - 1) = 24, then we can solve it as follows:

Step 1: Simplify the equation. 4x - 4x + 1 = 24, which simplifies to 1 = 24. This is also not possible.

If it's (4x - 4)x - 1 = 24, then we can solve it as follows:

Step 1: Simplify the equation. 4x^2 - 4x - 1 = 24.

Step 2: Subtract 24 from both sides to set the equation to zero. 4x^2 - 4x - 25 = 0.

Step 3: Solve the quadratic equation. The solutions are x = (4 ± sqrt(16 + 4425)) / (2*4).

Step 4: Simplify the solutions. x = (4 ± sqrt(416)) / 8.

Step 5: Calculate the value of (2x)^x for each solution.

Please check the equation and let me know if there's a mistake.