1. The problem is to simplify the expression $\log 10 - \log 5$. 2. We use the logarithm subtraction rule: $\log a - \log b = \log \left( \frac{a}{b} \right)$. This rule states that subtracting logarithms with the same base is equivalent to the logarithm of the division of their arguments. 3. Applying the rule: $$\log 10 - \log 5 = \log \left( \frac{10}{5} \right)$$ 4. Simplify the fraction inside the logarithm: $$\frac{10}{5} = 2$$ 5. So the expression becomes: $$\log 2$$ 6. Therefore, the simplified form of $\log 10 - \log 5$ is $\log 2$. This means the logarithm of 2 with the same base as the original logs (commonly base 10 if not specified).