Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1 . Evaluate logarithmic expressions if possible. \( 9 \log _{\mathrm{b}} x+6 \log _{\mathrm{b}} \mathrm{z} \)

\( \left. \begin{array} { r l r l } { 5 x + 3 x + 2 x } & { = } & { 7 y + 5 y - 9 y } & { = } \\ { 2 a + 4 a + 6 a } & { = } & { 2 a + 3 a - 5 a } & { = } \\ { 3 x + 5 x - 6 x } & { = } & { 10 x - 5 x + 12 x } & { = } \\ { - 5 y - 8 y } & { = } & { - 11 b - 7 b } & { = } \end{array} \right. \)

Simplify. \[ \frac{a^{5} b}{a^{4} b^{7}} \]

Simplify the expression \( 9 j-j+8 j \)

Which of the following equations represents a line that passes through the points \( (-4,11) \) and \( (6,-9) \) ? \[ \begin{array}{l}\text { I. } y=-2 x+3 \\ \text { II. } y+9=-2(x-9) \\ \text { Answer } \\ \text { Neither } \\ \text { II only }\end{array} \] I only I II

Simplify. \[ \frac{x^{2} y^{6}}{x^{3} y^{6}} \]