Instructions: 0 Complete the following questions in the spaces provided using Equation Editor in Word, or any other mathematical editing software. You may choose to print the assignment and complete by hand, then scan as a PDF. I . Full solutions are required for each question, unless instructed to use graphing software. Marks may be deducted if all steps are not shown. 0 Upload completed assignment to the Activity 8 dropbox. Total Marks: 150 For questions 1 through 5, choose the best response. {5 marks) 1. Which of the following represents log; 64 = 6 ? a} 2" = 64 b) 646 = 2 c] 106 = 64 d) 62 = 64 2. Which of the following represents \\f8 = 9 in logarithmic form? a) log81 = 9 b) logBl G) = 9 c) iog819 =5 d) log: 9 = 81 Summative Assessment _ 202 22023 MHF 4UE Name: 3. Which of the following is a key feature of the function g(x) = () ? a) . Always increasing b) Vertical asymptote at x = 0 c) . Domain of {x/ x > 0, x E R} d) Range of {y/ y > 0, y ER} 4. An important property of logarithms is: a) loga a = 1. b ) log10 a = a c) log a = a d) log a a = a 5. Logarithmic scales can be used to model: a) Earthquake intensities b) Sound intensities c) Acidity levels d) All of the above 6. The information below explains the transformations of the common logarithmic function. What is the equation of the function? (4 marks) Shift four units left Shift 3 units up Vertical compression by a third . Horizontal stretch by a factor of two Summative Assessment 2022-2023MHF 4UE Name: 7. Complete the table based on the given function. (7 marks) f (x) = =108212(x - 1)]-1 x-intercept(s) y-intercept Domain Range Equation of the asymptote Intervals of increase Intervals of decrease 8. Use the laws of logarithms to evaluate. Show your steps and leave all answers in exact form. (8 marks) a) log4 256) b) log3 18 + log3 5 - 10g3 10 c) 3log2 - 21082 () d) log4 48 + log4 Summative Assessment 2022-2023MHF 4UE Name: 9. Solve. (10 marks) a) -log x = 1 b ) log2(x + 3) + logz(x - 3) = 4 c) 3(4)3x-2 = 192 Summative Assessment 2022-2023MHF 4UE Name: 10. Due to employee safety negligence at a nuclear waste facility, 2000 tons of a radioactive element is spilled into the nearby pond. The half-life ofthe radioactive element Is 36 days. In order to be declared safe for swimming, based on its size and the amount of water, there must be less than 3.00 tons of the material found in the pond. How long, to the nearest day, until it is safe to swim again? (5 marks) 11. How many more times intense, to two decimal places, was the 2011 earthquake in Japan that measured 9.0 on the Richter scale than the 1905 earthquake in San Francisco that measured 8.1 on the Richter scale? (4 marks) 2022-2023 Summative Assessment MHF 4UE Name: 12. 13. 14. Led Zeppelin once played a concert which exerted sounds of 10 000 times the intensity of a sound that can just be heard. What is the loudness in decibels? (2 marks) 9 I. is it possible to determine a real solution for the expression below? Explain your reasoning. (1 mark) 1; luau8) Given that log; a + log; 1; = 3, calculate all the possible integer values of a if b Is also an integer value. Explain your reasoning. (4 marks} Surmnaiwe Assenmeni 2022-2023