Vista Virtual School Math 30-1 Assignment #2 This assign merit is out of 12 marks. To earn full marks for each question, a detailed algebraic solution andjor explanation is required. Review the "Directing Words" chart found in the course introduction. Complete all questions before su omitting this assignment for grading. Please contact 1.rour teacher if 1,Irou have any questions. 1. Laws of Logarithms a. Use the laws of logarithms to express as a single logarithm and then evaluate [2 marks} logI logz 3 + Zlog2 33E I]. Use the laws of logarithms to express as a single logarithm and then simplify. Also, determine the restriction for at. State the restriction as the 1:ralu es that are allowed for it. [2 marks} Elog5 (I-3)-]DE5{I1 x] 1. Mgebraieally determine the exact solution to 3' = 5"] . State as one fraction. [1 marks] 3. Algebraieally determine the exact solution to logx 4} = 2 log3 {x + 4} [2 marks] 4, Keith makes an investment of 531000 paying at an interest rate of 1596 per year, compounded quarterly. a. One form of the compound interest formula is A = PU + 1')\" , where A is the amount of money at the end of the investment; P is the principal amount deposited; .t' is the interest rate per compounding period; and it is the number of oompounding periods. Use the above formula to algebraically determine the number of compounding periods it would take for the investment to double. (Hint: Review page 352 in the textbook to help you set up this equation and then solve using the logarithmic laws] State your value fort! to one decimal place. {2 marks] b. Explain why the correct solution for the number of compounding periods is 33 and not 3?. [(1.5 mark} c. Another form of the compound interest formula is A = P + . where A is the L)!\" 3"! amount of money at the end of the investment; P is the principal amount deposited; .i'\" is the interest rate per year; it is the number of compounding periods ayear; and I is the total time in years. Using this second formula graphically determine the time in years it would take for the investment to double. Show your work by completing the statements below for your graphing calculator steps. Explain how this answer veries your results from part a. {Hint: There are 3 months in each compounding period] [1.5 marks} y]: F2