Show your work all questions?

7. The expression logm ( ). where m > 0, is equal to a. mr b. r c. m Use the following information to answer the next question kolod 8. The point (8,3) lies on the graph above of f(x) = a log(x + 2) - 1. Solve for the value of a. a. 12.9 (b.) 4 C . 2 d. 0.44 Use the following information to answer the next question Earthquake intensity, I, is given by the equation I = lo(10) m Where m is the magnitude measured to the nearest tenth on the Richter scale and lo is the reference intensity. In 1910, the San Francisco Bay area had an earthquake is a magnitude of 6.4 on the Richter scale. 9. What is the magnitude of an Earthquake 140 times less intense that than 1906 San Francisco Bay quake? a. 2.2 b. 4.2 10. If log, y = c - loga x, where y > 0 and x > 0, the y is equal to a. C- X b.13:36 P f d the Place the answer in the corresponding numeric response, left-justified. The half-life of phosphorus-32 is 15.8 days. To the nearest tenth of a day, the length of time that it will take 94.3 g of phosphorus-32 to decay to 25.2 gis_ 2. If log. a must equal a whole number and log, a > log: 16 then the smallest value of a is _3 2. Use the following information to answer the next question. The graph of y = b', where b > 1, has been transformed to the graphy = b-3 - 6. Some of the transformations are listed below. Transformation 1: Reflection about the y-axis. Transformation 2: Reflection about the x-axis. Transformation 3: Horizontal stretch by a factor of 3. Transformation 4: Vertical stretch by a factor of 6 Transformation 5: Vertical translation down 6. Transformation 6: Horizontal translation right 6. 3. Which two transformations are correct? Place the transformation number(s), from least to greatest, in the numeric response boxes. m Multiple Choice Answers: 10 10 Numerical Response Answer 1 s 3 Written Bespome: Show a complete algebraic solution for the following. 1. According to a recent census, the population of Alberta is increasing at a rate of 2.6%% per year. On January, 1, 2001, the population of Alberta was 3.94 million. a, State an exponential equation to represent the population, P. of Alberta as a function of the number of years, to after 2001. (Assume that the rate of population growth will remain constant.) (1 mark) (1 mark) b. Predict the population of Alberta on January 1, 2008, Round the answer to the nearest hundredth of a million. c. Algebraically determine the amount of time, to the nearest tenth of a year that it would take for the population of Alberta to reach 5.8 million. (1 mark)Given log, 5 = V and log, 2 = W, rewrite 3. Write as a single logarithm in shiny log, () in terms of V and W (1 mark) 3log. (w z) + log. (z x* ) - log.(w'x where a > 0 and a # 1 (2 marks) Use the following information to answer the next question A mathematics class was asked to solve the equation 3012 =6* The attempts of two students to solve the equation are shown below. Each student made one error that led to an incorrect solution. Student A Student B P, 3*+2 = 32 2 . log 3:+2 = log6* 3, x+2 = 2x 3, x + 2 log 3 = x log6 4, 2 =2x-x 4, 2 10g 3 = -x + x log6 9 , x-2 5, 2 log3 = x (-1+ log 6) 2 log 3 6+ (-1 +10g6) x is approximately - 4.3 . Show that neither x = 2 nor x = -4.3 satisfies the equation 31+2 = 6*. [2 marks] . Identify the error that was made by each student and state why each error leads to an incorrect answer. [2 marks] . Algebraically solve the equation 3*+ = 6* and give the solution, correct to the nearest hundredth. ? marks]Multiple Choice: Choose the BEST answer Use the following information to answer the next question. A student was given the following graphs. The equation of graph 1 is y = b* Possible equations for graph 2 are given graph 1 4+ below. A: x = by By = logbx 2+ graph 2 C:y = -bx D: x = logby -2 2 -24 1. Which equation(s) is(are) true? a. A and D b. B C. A and B d. D 2. The y-intercept of y = log, (x + b*) - a is - a b. a c. b" - b+ d. b4 - a 3. The horizontal asymptote for y = 2*-3 + w, where w > 0 is a. y =3 (b . y = w c. y = -3 d. y = -w 4. The equation rlogst = u can be written in exponential form as a. S = b. r(5" ) =t C. SH = 1 d. sru = t 5. The logarithmic form of 97 = z is b. log,9 = " ! = z c. log9 7 d. logm9 = z 6. The expression logs () can be written as a. logs (36x) log.(y) b. 2+210gx logay c. 36 + 2logox - logy d. 2 + 2logoX - logby