Expand the expression. \( \log _{3}\left(\frac{x^{5} y^{7}}{2}\right) \)

Evaluate. \[ \frac{(-4-3)^{2}-10}{3-4^{2}} \]

The graph of which function is the same as the graph of \( y=\frac{1}{x} \) shifted to the right 5 units and shifted up 2 units? \[ y=\frac{1}{x-5}+2 \] \( y=\frac{1}{x+5}+2 \) \( y=\frac{1}{x+5}-2 \) \( y \)

If \( f(x)=6^{7-x}+1 \), what is the value of \( f(2) \), to the nearest ten-thousandth (if necessary)?

\( \left. \begin{array} { l }{ - ( \frac { 2 } { 5 } ) ^ { 2 } = \square } \\ { \frac { 4 ^ { 3 } } { 5 } = \square } \end{array} \right. \)

Fill in the missing values to make the equations true. (a) \( \log _{5} 3+\log _{5} 4=\log _{5} \square \) (b) \( \log _{8} 11-\log _{8} \square=\log _{8} \frac{11}{5} \) (c) \( 2 \log _{8} 5=\log _{8} \square \)