Formulate Real-World Logarithmic Equations For the problem situation, answer the following questions. Show your work. Zelda has 8 rabbits with which to start an animal farm. If the rabbit population doubles each month, in how many months will the rabbit population be 5,800? 1) Write the exponential equation in function notation: f ( x) = 2) Write the exponential equation in y = notation: State the quantity the variable x represents: State the quantity the variable y represents: 3) Solve the equation in Step 2 for x : a. b C. d. e.f. g. 4) Rewrite the simplified equation in logarithmic function form: g ( x) = State the quantity the independent variable (x) represents: State the quantity the dependent variable ly, or g (x) represents: 5) Complete the table for each function. Write the exponential function: Independent 7 8 10 Variable (x 12 Dependent Variable y, or g(x)Write the logarithmic function: Independent Variable (x) Dependent Variable ", or g (x) 6) In how many months will the rabbit population be 5,800? Show all substitutions and steps. Round your answer to eight places past the decimal point. State your solution in a complete sentence. Round your answer to the nearest tenth of a month. 7) Check the solution with eight decimal places by using the exponential function. What is the difference between this solution from the exponential equation and the value stated in the problem? Show the complete subtraction problem.3} Check tile solution rounded to the nearest tenth by using the exponential function. Round your answer to the nearest whole value. What is the ditterenoe between this solution from the exponential equation and the value stated in the problem? Show the complete subtraction problem. 9} Plot some points from the logarithmic function that can be displayed on tile coordinate plane below. Use the x-valuas from the following table: r, or girl 10- 9- B- 7- 6- 9 D 11 12 13 14 15 16 17 18 19 20 21 22 23 10) Connect the points with a curve. Does the graph appear logarithmic