1. The problem is to find the value of $\log_{10} 1$. 2. Recall the definition of logarithm: $\log_b a = c$ means $b^c = a$. 3. Here, $b=10$ and $a=1$, so we want to find $c$ such that $10^c = 1$. 4. Any number raised to the power 0 equals 1, so $10^0 = 1$. 5. Therefore, $\log_{10} 1 = 0$. Final answer: $\boxed{0}$