To find the value of \( \log_8 1 \), we can use the property of logarithms that states:
\[ \log_b 1 = 0 \]
for any base \( b \) (where \( b > 0 \) and \( b \neq 1 \)). This is because any positive number raised to the power of 0 equals 1.
Thus, we have:
\[ \log_8 1 = 0 \]
Therefore, the correct answer is:
0