Unit 2 Assignment 1. Convert the following expressions between exponential and logarithmic form. a. 2401 = 74 [1 mark] b. a = logb c [1 mark] 2. Solve for x. Give your answer to three decimal places where appropriate. a. x = log 21 [2 marks] b. x = log22 10 000 [2 marks] C. 2* = 23 [2 marks] d. x9 = 1024 [2 marks] e. 5 = logx 25 [2 marks] f. 3.5 = 10g36 x [2 marks] 3. Use the properties of logarithms to solve the following equations. a. M = log11(1121) [1 mark] b. 41084(57) = x [1 mark] C. x = log100 1000 [1 mark] 4. Solve for the unknown using a method of your choice. a. 511x+23 = 1257x [3 marks] b. 2n = 123 [3 marks] c. 3*+5 + 3* = 177876 [3 marks] 5. Describe the transformations on the logarithmic function g (x) - - - log |-; (x - 2)] +9 [6 marks] 6. Write the equation of a logarithmic function that has been vertically stretched by 4, reflected in the x-axis, horizontally compressed by 1/9, moved 11 units up and 12 units left. Justify your answer. [4 marks] 7. Ethan bought a new car worth $54,000. After 5 years, the car was worth $28,497.52. Calculate the annual depreciation rate of Ethan's car. [3 marks] 8. The hydrogen ion concentration of a lemon is about 0.02. What is its ph? [2 marks] 9. How do the intensities of a magnitude 6.0 earthquake and a magnitude 2.9 earthquake MacBook Air 80 000 F3 F4 F5 F6 F7 F8