Please help to do the following questions. Please do them on paper with all steps for full understanding

1) Evaluate each of the following. Only the nal answer is required (you do not need to Show any work). All answers must be exact. (K 1' mark each) a) log3 21? h) log2 48 log2 3 e) log;1 8 + 510g. 2 I2 d) Stride\": e) bag] a log(3 100) 2) Solve the following equations. Round your answer to the nearest tenth where necessary. (K - 2 marks each) a) log, (8x+1) =4 b) 9+5* =16 c) 8123- = 273x+103) Solve the following equations. Round your final answer to the nearest tenth, where necessary. (A - 3 marks each) a) log, x + log, (x -1) = log, (2x) b) 8* 1282* +15 = 110\f4) How many times more intense is an earthquake that measures 8 on the Richter scale than an earthquake that measures 4 on the Richter scale? Round your answer to the nearest tenth. (I - 1 mark)5) The hydrogen ion concentration of a type of vinegar is 0.00126 mol/L. Determine the vinegar's pH to the nearest tenth. (I - 1 mark)6) If 25 mg of a radioactive element decays to 20 mg in 48 hours, determine the half-life of the element. Round your final answer to the nearest tenth of an hour. (1 -2 marks)7) A lawnmower has a loudness of 106 dB. Ordinary traffic has a loudness of 70 dB. How many times more intense, to the nearest tenth, is the sound of the lawnmower? (1 -2 marks)3) A rare alabaster statue of Pythagoras is currently worth $54 00!}. Unfortunately, due to its environment and its irresponsible owner, the statue's condition is becoming worse every year. As a result, it is estimated that its value will decrease by 32% per year. After how many years will the statue have the same value as a cafeteria eookie ($1.25)? Round your final answer to the nearest tenth of a year. {I 3 marks) 9) Solve the equation 3*- = 74x+5 . Round your final answer to the nearest hundredth. (1 - 3 marks)10) Using the axes on the right, sketch the graph of y=21032(x3)+4 . Be sure to indicate scales on the axes clearly Show at least 3 points on the nal graph. (C 2 marks). 11) State the domain and range of y = Slog(3x +15)+1{}. (C 2 marks) 12) Chuck claims that the graph of f[x) = leg5(625x) and the graph of g[x} = leg5 x + 4 will look different. ls Chuck's elaim correct? Explain. (C 2 marks)