Use the change-of-base rule to find an approximation for the logarithm below. \( \log _{6} 18 \)

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

Question simplify \( \sqrt[3]{-128} \). Express the answer using a positive radicand.

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

Simplify \( 4+\sqrt{117} \)

For the following function, find the value of \( (a) f(-5) \) and (b) \( f(4) \), if possible. \( y=\left\{\begin{array}{l}x^{2}-4 \text { if } x \leq 0 \\ x^{3}+4 \text { if } x>0\end{array}\right. \) A. \( f(-5)=\square \) (Simplify your a a \( [ \) (aswer.) B. There is no solution.