# Playing with Graphs --- 4

Calculus Level 5

$f (x) = \{ \sin(x) \} - \left | {\log}_{10} \left( \dfrac{2x - \pi + 2}{2} \right) \right |$

Find the number of roots of the following equation above.

Notation: $$\{ \cdot \}$$ denotes the fractional part function.

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