To find \( \log 6 \) using the given value of \( \log 36 \approx 1.556 \), we can use the fact that:
\[ \log 36 = \log(6^2) = 2 \log 6 \]
So, we can set up the equation:
\[ 2 \log 6 \approx 1.556 \]
Now, we can solve for \( \log 6 \):
\[ \log 6 \approx \frac{1.556}{2} \approx 0.778 \]
Thus, to the nearest thousandth, \( \log 6 \) is approximately \( 0.778 \).
The correct response is:
0.778