Fatorial #5

Algebra Level 2

If x! = x . (x - 1)! , log 10 = 1 ,

A = an indentity matrix of order 3x3 ,

|A| = the determinant of the matrix A .

Find the value of x.

\(\frac{100! - x!} {x!}\) = (\(\log 10^{100}\)) - |A|

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