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Solve for x: 5x = 5!

Mathematics

ScanSolve AI Answer

Answer

24\mathbf{24}

Step-by-step solution

3 steps
  1. Calculate the value of $5!$.

    The factorial symbol !! means to multiply all positive integers less than or equal to that number.

    5!=5×4×3×2×15! = 5 \times 4 \times 3 \times 2 \times 1 5!=1205! = 120
  2. Substitute the value of $5!$ into the given equation.

    The equation is 5x=5!5x = 5!.

    5x=1205x = 120
  3. Solve for xx by dividing both sides by 5.

    5x5=1205\frac{5x}{5} = \frac{120}{5} x=24x = 24

    The value of xx is:

    24\mathbf{24}
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