Math 30-1 Name: Date: Logarithms Assignment 2 Show all work for full marks Period: 2 1 . If log3 y = c - 10g3 x, where y > 0 and x > 0, then y is equal to: 109 3 4 = C - log3x A. C - X B log ? C. C'S D 2. Solve for x algebraically, leave values exact: a. log10 5 + log10 (5x + 1) = log10 (x + 5) + 1 5 log70 5 + 5 x log10 + 10910 = Xlegio + 5log,0 + 1 - 5 log10 - x 10910 - 19910 - X 10910 - 5 log 10 - 10910 14X 10gio = 1 - logo * = 1 + log- 109104 10910 b. log2(x-3) + log2(x-1) = 3 c. (log4 a) (loga 2a) (logza X) = loga a3 d. log2 (10gx(-10x2 + 21)) = 2Math 30-1 e. 3x-2"= 52x+1, leave your answer in the form 10gm n 3. The number of bacteria in a growth medium increases by 17% every 6 hours. If there were 10 bacteria to start with, how many complete hours would it take to produce 430 bacteria? y = a . b /p a = 10 t = ? y = 430 P = b = 6 hrs 4 If the volume of a volleyball decreases by 6% every day. How long, to the nearest tenth 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 6. Paul invested $1600 at 8.5% per year compounded semi-annually. After 16 years how much money, to the nearest cent, did he have? A = P ( 1 + 2 ) nx 7. $2600 was invested at 4% per year compounded monthly. If there was $5335.13 at the end, how many months had gone by? 8. Orange juice has a pH value of 3.5 which is 19.95 times more alkaline than lime juice. What is the pH value of lime juice? 9. 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