To evaluate \( \log_7 492 + \log_7 7 \) using the properties of logarithms, we can use the property that states \( \log_b a + \log_b c = \log_b (a \cdot c) \).
So, we have:
\[ \log_7 492 + \log_7 7 = \log_7 (492 \cdot 7) \]
Calculating \( 492 \cdot 7 \):
\[ 492 \cdot 7 = 3444 \]
Thus, we have:
\[ \log_7 (492 \cdot 7) = \log_7 3444 \]
Now, the question asks for the value of \( \log_7 3444 \), but it is not well-defined in terms of a numerical value without a calculator or additional information about \( 3444 \) in the base \( 7 \).
If the question was actually meant to ask about the numerical results of \( 492 \cdot 7 \), we see the answer simplifies to:
\[ 3444 \]
Therefore, the answer that seems to best correspond to your options is:
3444