1. Write the equation of a logarithmic function that has been vertically stretched by 5, reflected in the x-axis, horizontally compressed by 1/3, moved 11 units left and 8 units down. Justify your answer. (Explain).
2. The point ( -23, -13) is on the transformed function: y = -2log₁₀[ -5 ( x + 3 )] - 9. Find the original point on the parent function f(x) = log₁₀x . Justify your answer.
3. Ethan bought new car worth $60 000. After 5 years, the car was worth $35 429.40. Calculate the depreciation rate of the Ethan's car.
4. The hydrogen ion concentration of a lemon is about 0.01 . What is its pH?
5. How does an earthquake of magnitude 8.4 compare to an earthquake of magnitude 3.7? Round answer to the nearest whole number.