Name: Math 30-1 Isponents & Logs Period: Exponents and Logarithms Assignment 1 1. Show all work to solve 1251242 - 180157- - algebraically. 2. The graph of y - 2" is provided on the grid below. a The original graph is transformed to 7+2 - 20-1", sketch the new graph 24 on the same grid. -20 h. Provide the mapping notation. c. State the Domain and Range of the S new function. D: 3. Solve. Show all work. Give esal value answers, do not round. a. 3[16)) = 3072 b. 7 log,(16x) = 42Expannot & Logs 4. Algeterically find the Invent of y = V35. 5. Show work to determine the value of Slag, a + Slag, bifat - 64. G. If logy= 180 and logg x - 3, then the value ofy is (leave your answer as a single power T. Show work in simplify to a single power and evaluate: Sups with eaparent or log laws cannot be skipped.Math 30-1 Exponents & Logs Given the original graph of y = log, x. state the equations of amy asymptotes of y = 2log . (3x - 6). 9. The graph of y - logx passes through the point (5, 9). The graph of y= log (2x) -7 passes through the point (m, n). Show some work to find (m,n). 10. Show work to simplify log, 97 - 3 log, xy ,if y = 3x. Answer in me log, I form. 11. If lopa = 8 and logic -9, then show some work to find the value of logmatch 12. Use the laws of logarithms to evaluate log, (32 . V16) - log,(128025). Express your arewer in reduced fraction form and show your work.Math 10-1 Name! Logarithms Assignment 2 Date Show all work for full marks Period 1. If logs y = c = log, *, where y > 0 and > >: 0, theny is equal to: A C. HIL D. 2. Solve fer & algebraically, leavy values exact: & logos+ be (Fr+ 1) = log,(x+ 9) +1 5 Login $ + 5 x login + logo = XJogie + Skogje +1 104 b. lag(x-3)+ log(x-1)= ] d. log=(log,(-108 + 21)) - 2Math 30-1 e. gr-4- 51x+1, leave your answer in the form log 3. The number of bacteria in a growth medium increases by 17% every & hours. If there were 10 bacteria to start with, how many complete hours would it take to produce 430 bacteria? a = 10 3x 430 b= 6 his If the volume of a volleyball decreases by 8% every day. How long, to the nearest tench of a day, does it take the volleyball to lose half its volume? 5. A certain radioactive waste substance is considered safe to handle without special equipment if its radioactivity has decreased to 10% of its original amount. How many years, to the nearest tenth, would it take a radioactive waste substance to decay to a safe level if the half life of the substance is 35 years?Math 30-1 Paul invested $1600 at 8.$%% per year compounded semi-annually. After 16 years how much money, to the nearest cent, did the have? 7. $2600 was invested at 4%% per year compounded monthly. If there was $5335.13 at the end, how many months had gone by? Orange juice has a pil value of 35 which is 19.95 times more alkaline than lime juice. What is the pl value of lime juice? An earthquake measuring 7.1 on the Richter scale is 500 times less intense as a quake measuring what value, to the nearest tenth, on the Richter scale