MA1210: Module 6 Exponential and Logarithmic Functions Lab 6.1 Exponential and Logarithmic Functions This lab requires you to solve exponential and logarithmic equations by using different methods. Recommended Procedures: 1. (5 points) Evaluate 41.5 . Round your answer to three decimal places. 2. (10 points) The formula = (1 + ) models inflation, where = The value today = The annual inflation rate = The inflated value t years from now Use this formula to solve the following problem: If the inflation rate is 3%, how much will a house now worth $510,000 be worth in 7 years? 3. (5 points) Write 6 = 2 64 in its equivalent exponential form. 4. (5 points) Write 8 = 300 in its equivalent logarithmic form. 5. (15 points) Hurricanes are some of the largest storms on earth. They are very low pressure areas with diameters of over 500 miles. The barometric air pressure in inches of mercury at a distance of x miles from the eye of a severe hurricane is modeled by the formula: () = 0.41 ln( + 1) + 28 a. Evaluate f(0) and f(100). Interpret the results. b. At what distance from the eye of the hurricane is the air pressure 29 inches of mercury? 6. (10 points) Solve the exponential equation 6 = 216 by expressing each side as a power of the same base and then equating exponents. 7. (10 points) Solve the exponential equation = 43.2. Express the solution in terms of natural logarithms. Then use a calculator to obtain a decimal approximation for the solution. 8. (10 points) Solve the logarithmic equation 10 = 3. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer. 9. (10 points) Find how many years it will take for $15,500 to increase to $30,000 in a savings account with a 6.75 % interest rate with 4 compounding yearly. = (1 + ) 10. (20 points) Complete the required adaptive activities in ALEKS. 1 MA1210: Module 6 Exponential and Logarithmic Functions Lab 6.1 Exponential and Logarithmic Functions Submission Requirements: Your lab report will be a Word document. Be sure you have answered each question correctly before final submission for grading. Include a header containing your name and the date on each page. Name the document MA1210_nn_Lab61.docx, replacing nn with your initials. Use Arial 12-point font and double-line spacing. Evaluation Criteria: Your submission will be evaluated against the following criteria: Did you complete the required adaptive activities in ALEKS? Did you answer all the questions correctly? Did you include appropriate steps and any formulas or properties to determine the answers to questions wherever required? Did you correctly answer each question? Did you submit answers in an organized fashion that was legible and easy to follow? 2