24. Write an equation and solve. a. Gabriel is trying to plan his birthday party. At Putt Putt Palace, it is \( \$ 250 \) to rent the facility and \( \$ 7 \) per person that attends. At Mini Golf Madness, it is \( \$ 280 \) to rent the facility and \( \$ 5 \) per person. How many people could Gabriel invite that would be the same price for each place?

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

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

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

The electricity rates charged by Monroe Utilities in the summer months are as follows. - Base Charge is \( \$ 8.50 \) - First 600 kWh or less at \( \$ 0.05 / \mathrm{kWh} \) - Over 600 kWh at \( \$ 0.08 / \mathrm{kWh} \) The base is a fixed monthly charge, independent of the kWh (kilowatt-hours) used during the month. a. Find an expression for the cost function \( C(x) \) for usage of or under 600 kWh . \( C(x)=\square<x \leq 600 \) b. Find the charge for using 800 kWh . \( \$ \square \)

Задание 2. Решить неравенства а) \( |3 x-3|>1 \) б) \( |x+3|<x-2 \) в) \( |3 x+2| \leq|5 x-4| \)