1. Tick the correct option 1. V8 is equivalent to A 4 B 23 C 23 D (22)3 2. What is the solution to 2x+ 1 = 4*? A B C D 3. Which is the product law of logarithms? A log a X log b = log (ab) B log a X log b = log (a + b) ( log a + log b = log (a + b) D log a + log b = log (ab) 4. The expression log, 5 + log, 10 - log, 25 is equal to A log 2 B C 1 D 2 5. Write as a single logarithm, and then evaluate. log, 6 + log, 4 - log,6. Evaluate log, 45. a. 4 b. 2. Solve for x (6) a) 2* = bj 32x - 73x-1 c) 2logx - log4 = 3log4 3. Evaluate log; 625 + log 32 (3) Communication 1. Consider the following statement: "According to the decibel scale, a whisper is (4) three times as loud as the rustle of leaves." Is this statement true? Explain Use the decibel scale, B, - B, = 10 log to answer the following.Loud Rocket 200 Potentially fatal Jet engine 160 Rock concert speaker 150 Pain threshold Symphony (peak) 120 Maximum stereo output 100 Niagara Falls 90 Normal city traffic Protective hearing equipment 85 Shout 80 recommended Normal conversation 60 Whisper 30 Barely audible Rustle of leaves 10 Quiet 2. Explain any two types of situations were logarithmic scales used? (3) 3. The magnitude, M, of an earthquake is measured using the Richter scale: (4) M = log A "great" earthquake measures about 8 on the Richter scale, while a "light" earthquake measures about 4. Does this mean that a great earthquake is twice as intense as a light earthquake? If so, explain why, and if not, explain why not, using mathematical reasoning.4. An influenza virus is spreading through a school according to the function N = 10(2) (4) where N is the number of people infected and t is the time, in days. How many people have the virus at each time? a) initially, when t =0 b) after 1 day c) after 2 days d) after 3 days Thinking 1. Solve for x, correct to two decimal places. (4) a) 4* = 100 b) 80 = 100 (=)" 2. For the function f(x)= 3". Identify the key features of the graph. (3) a) domain and range y-intercept, if it exists intervals for which the function is positive and intervals for which it is negative d) intervals for which the function is increasing and intervals for which it is decreasing el equation of the asymptote 3. Write as a single logarithm. (4) log 8 a) log 5log log 4. Evaluate. (4) a) log. (v16)Is b) log, (V81)6 Application ( All questions are of 5 marks) 1. A loud car stereo has a decibel level of 110 db. How many times as intense as the sound of a loud car stereo is the sound of a rock concert speaker Use the decibel scale, B, - B, = 10 log to answer the following.Rocket 200 Potentially fatal Jet engine 160 Rock concert speaker 150 Pain threshold Symphony (peak) 120 Maximum stereo output 100 Niagara Falls 90 Protective hearing equipment Normal city traffic 85 Shout RO recommended Normal conversation Whisper 30 Barely audible Rustle of leaves 10 Quiet 2. Use the pH formula, pH=-log (H+), to answer the following. a) Ammonia has a hydronium ion concentration of 3.2 x 10 12 mol/L. What is its pH level? b) The pH of vinegar can range between 2 and 3.5. Determine the range of the hydronium ion concentration in vinegar.. Use the decibel scale, B, - B, = 10 log 3. to answer the following. a) The sound as a subway train passes is about 315 times as intense as normal city traffic, which has a decibel level of about 85. What is the decibel level of a passing subway train? b) A worker using a power saw hears a decibel level of 118. How many times as intense as the sound of normal city traffic is the sound of a power saw? Loud Rocket 200 Potentially fatal Jet engine 160 Rock concert speaker 150 Pain threshold Symphony (peak) 120 Maximum stereo output 100 Niagara Falls 90 Protective hearing equipment Normal city traffic 85 Shout 80 recommended Normal conversation Whisper 30 Barely audible Rustle of leaves 10 Quiet