Does log(decimal!) Exist?

Calculus Level 5

Evaluate:\[\lim _{ x\rightarrow 1 }{ \frac { \log _{ e }{ \left( \left( 10.5x \right) ! \right) -\log _{ e }{ \left( \left( 10.5 \right) ! \right) } } }{ x-1 } } \]

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