To find \( \log_4 35 \) using the given values of \( \log_4 7 \) and \( \log_4 5 \), we can apply the property of logarithms that states:
\[ \log_b(xy) = \log_b x + \log_b y \]
Here, we can express 35 as \( 7 \times 5 \). Therefore, we can write:
\[ \log_4 35 = \log_4 (7 \times 5) = \log_4 7 + \log_4 5 \]
Now we substitute the approximate values provided:
\[ \log_4 7 \approx 1.404 \] \[ \log_4 5 \approx 1.161 \]
Now add these two values:
\[ \log_4 35 \approx 1.404 + 1.161 = 2.565 \]
Thus, the value of \( \log_4 35 \) is approximately \( 2.565 \).
The correct response is:
2.565