Question: The image contains the following mathematical expression written in blue ink on a grid paper: \[…

The image contains the following mathematical expression written in blue ink on a grid paper:

\[ \log_{3} 5 \cdot \log_{5} 3 = \]

Solution

To solve the problem \(\log_3 5 \cdot \log_3 5\), which is the same as \((\log_3 5)^2\), you don’t need to simplify further unless specific instructions are given. This is simply the square of the logarithm. The answer is: \[ (\log_3 5)^2 \]