Use properties of logarithms to evaluate the expression. \( 2 \log 5+\log 4 \) \( \square \)

To evaluate the expression \( 2 \log 5 + \log 4 \), we can utilize the properties of logarithms. First, we can rewrite \( 2 \log 5 \) as \( \log(5^2) \), which simplifies to \( \log 25 \). Therefore, the expression becomes: \[ \log 25 + \log 4 \] By applying the property \( \log a + \log b = \log(ab) \), we can combine these logarithms: \[ \log(25 \times 4) = \log 100 \] Now, since \( \log 100 = 2 \) (because \( 100 = 10^2 \)), we conclude: \[ 2 \log 5 + \log 4 = 2 \]