Simplify the following expressions fully: \( 1.2 .1 \quad(x+2)\left(x^{2}-x+3\right) \) \( 1.2 .2 \quad \frac{5}{x+3}-\frac{3}{2-x} \) \( 1.2 .3 \quad \frac{25^{-x} \cdot 15^{x+1}}{3^{x} \cdot 5^{-x}} \)

Find the slope and \( y \)-intercept of the graph of the equation. \[ y=\frac{2}{5} x-1 \] Slope \( =\square \) (Enter a fully reduced fraction.) The y-intercept is \( \square \). (Simplify your answer. Type an ordered pair.)

Use the rule \( \log _{b}(x y)=\log _{b} x+\log _{b} y \) to find \( \log _{2}(16 \cdot 64) \). (1 point)

Find all x -intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of \( x \)-intercepts. \[ f(x)=\frac{3 x^{2}-x}{x^{2}-3 x-54} \]

1) \( y=3 x^{2}-2 x-1 \)

Solve for \( x \) in the logarithmic equation \( 10^{\log \left(10^{24}\right)}=10^{x} \). (1 point) \( \begin{array}{l}x=10^{24} \\ x=24^{10} \\ x=24 \\ x=10\end{array} \)