# Solid State

Chemistry Level 2

Let the values of $$A,B,C$$ and $$D$$ satisfy the following constraints:

• The value of $$A$$ is the coordination number in face-centered cubic unit cell.

• The value of $$B$$ is the coordination number in body-centered cubic unit cell.

• The value of $$C$$ is the tetrahedral voids per atom in FCC.

• The value of $$D$$ is the octahedral voids per atom in FCC.

If $$\log_C A + \log_C B + \log_C D = x + \log_8 27$$, find $$x$$.

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