\( -\frac{1}{2 x}-\frac{1}{y}=-1 \) and \( \frac{1}{x}+\frac{1}{2 y}=8 \)

\( \frac{3x-4}{6}=^{\frac{7}{}}8 \)

Which of the following is equivalent to \( 3 \ln a-\frac{1}{2}\left(\ln b+\ln c^{2}\right) ? \) (1 point) \( \frac{\ln \left(\frac{3 a}{0.5 b^{2} c}\right)}{\frac{3}{2} \ln \left(\frac{a}{b c^{2}}\right)} \) \( \ln \left(\frac{a^{3}}{b c^{2}}\right) \) \( \ln \left(\frac{a^{3}}{c \sqrt{b}}\right) \)

\( A=\left[\begin{array}{ccc}1 & -2 & 0 \\ 2 & 1 & -3 \\ 0 & -2 & 1\end{array}\right] \begin{array}{c}x-2 y=10 \\ 2 x+y+3 z=8 \\ -2 y+z=7\end{array} \quad \) find \( A-1 \)

Select the equation that can be used to solve \( \log _{4}(x+4)+\log _{4}(x-2)=2 \). (1 point) \( x^{2}+2 x-8=0 \) \( x^{2}+2 x-24=0 \) \( x^{2}-2 x-24=0 \) \( x^{2}-2 x-10=0 \)

Solve \( \log _{2}\left(\log _{4} x\right)=3 \) (1 point) \[ \begin{array}{l}x=262,144 \\ x=4,096 \\ x=65,536 \\ x=6,561\end{array} \]