1. Consider the following equation. \[ x+5 y=2 y-6 \] Find the equation of the line which passes through the point \( (-2,-11) \) and is perpendicular to the given line.

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

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

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

Rewrite the following as a single logarithmic expression: \( 3 \log _{b} m-2 \log _{b} n \) (1 point) \( \log _{b}\left(\frac{3 m}{2 n}\right) \) \( \log _{b}\left(m^{3} n^{2}\right) \) \( \log _{b}\left(\frac{m^{3}}{n^{2}}\right) \) \( \log _{b}\left(m^{3}-m^{2}\right) \)

1) \( \lg (x-1)-\lg (2 x-11)=\lg 2 \)