Use the properties of logarithms to evaluate each of the following expressions. \( \begin{array}{l}\text { (a) } 4 \ln e^{2}+\ln e^{-12}=\square \\ \text { (b) } \log _{3} 39-\log _{3} 13=\square\end{array} \)

\( 1 \leftarrow \quad \begin{array}{l}\text { Write the first four terms of the recursive sequence. } \\ a_{1}=6, a_{n}=5-a_{n-1} \text { for } n \geq 2\end{array} \) \( a_{1}=\square \) (Type an integer or a simplified fraction.)

Question Simplify: \( \sqrt[3]{-125} \) (Enter \( \varnothing \) if your answer is not a real number.)

Question simplify: \( \sqrt{\frac{294}{6}} \)

Question Simplify: \( \sqrt{9+16} \) (Enter \( \varnothing \) if your answer is not a real number.)

Question Estimate \( \sqrt[3]{4} \) between two consecutive whole numbers. Provide your answer below: