Solve the logarithmic equation. Be sure to reject any value of \( x \) that is not in the domain of the original logarithaic expressions. Give the exact answer. \( \log (x+6)=\log x+\log 6 \)

-11) \( \frac{22^{4} \cdot 8^{4}}{121^{4} \cdot 4^{6}}= \)

3. \( 3 x(4 x-5) \)

If \( f(x)=\left\{\begin{array}{ll}2 x-5 & \text { if }-2 \leq x \leq 4 \\ x^{3}-4 & \text { if } 4<x \leq 5\end{array}\right. \), find: (a) \( f(0) \), (b) \( f(1),(c) f(4) \), and \( (d) f(5) \). (a) \( f(0)=\square \) (b) \( f(1)=\square \) (c) \( f(4)=\square \) (d) \( f(5)=\square \)

Write the function whose graph is the graph of \( y=(x+4)^{2} \), but is reflected about the \( x \)-axis. \( y=\square \) (Simplify your answer.)

QUESTION 3 3.1 Given the number pattern \( 2 ; y ; 8 ; \ldots \) Determine the value of \( y \) if: 3.1.1 The number pattern is linear. 3.1.2 The number pattern is quadratic and \( T_{4}=2+5 y \). 3.2 In a linear number pattern, the \( 19^{\text {th }} \) term is 40 and the \( 7^{\text {th }} \) term is 16 . Thus, determine the first two terms. 3.3 The general term of a quadratic number pattern is \( T_{n}=n^{2}+2 n-15 \). Determine which term has a value of 20 .