\fMHF4U Learning Activity 2.6 Unit 2 Assessment 3. Convert each of the following to exponential form and solve. [K6] a. n = log, 16384 b. 6 = log,46656 4. Use the special properties of logarithms to solve the following equations. [K4] a. M = log 1121 b. 4 0857 = x C. x = log2, 785. Evaluate the following using a method of your choice. [A4] a. log 729 = b. log 7776-log, 36 = 6. Solve for the unknown variable using a method of your choice. [A4] [C2] a, 51L+23 = 1257- b. 2" = 123 7. Solve for the unknown variable using a method of your choice. [T4] [C2] 3x+5 + 3" = 177 8768. Describe the transformations on the given logarithmic function. [C6] 8(x) =-{log,.[-4(x-7)]-85 9. 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. [A5] [C2] 10. The point (-23, - 13) is on the transformed function: y = -210g,[-5(x + 3)]-9. Find the original point on the parent function f(x) = log,, x. Justify your answer. [T4] [C2]11. 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. [T4] [C2] 12. The hydrogen ion concentration of a lemon is about 0.01. What is its pH? [A3] 13. How does an earthquake of magnitude 8.4 compare to an earthquake of magnitude 3.7? Round answer to the nearest whole number. [A4]