Putting It All Together:
You have become an expert in solving exponential and logarithmic equations. You can utilize graphs, exponent rules, logarithms, and properties of logarithms to solve and evaluate various forms of equations and expressions. Now your task is to analyze these functions and determine when it is best to use each formula. When can you use a particular method? When is it inappropriate to use that method? What type of accuracy can you expect with each way to solve equations? What tips or tricks would you give to someone to help them navigate through solving exponential and logarithmic equations?
You will complete the final task below by due Monday, May 20
You will have a Unit Test on
You have become an expert in solving exponential and logarithmic equations. You can utilize graphs, exponent rules, logarithms, and properties of logarithms to solve and evaluate various forms of equations and expressions. Now your task is to analyze these functions and determine when it is best to use each formula. When can you use a particular method? When is it inappropriate to use that method? What type of accuracy can you expect with each way to solve equations? What tips or tricks would you give to someone to help them navigate through solving exponential and logarithmic equations?
You will complete the final task below by due Monday, May 20
You will have a Unit Test on
The Final Task
due Monday, May 20
due Monday, May 20
Part 1:
a) Select an exponential equation, put your equation into the spreadsheet (do not duplicate).
b) Translate your equation left, right, up, and down.
c) Find the inverse of each of your equations.
Part 2:
Graph each equation and it's inverse on the same coordinate plane. Each pair of equations must be on a separate piece of graph paper, and each original function should be in one color and the inverse in another color.
Part 3:
a) Solve each equation (you must show your work).
b) Graph each solution on the graphs you created for part two. If there is no solution state why no solution exists.
Part 4:
Write no more than 3 equations that use all the properties of logarithms when solving. Then use numerical values to show your solution is correct.
Part 5:
Write a common logarithmic expression for every integer from 1-20.
Part 6:
a) Reflect each of your exponential equations from part 1 and 2 to make them exponential decay equations.
b) Graph each set of equations on the same coordinate plane in different colors.
All of these parts must be included the same Google Doc. Follow the LINK for the template for the Final Task.
a) Select an exponential equation, put your equation into the spreadsheet (do not duplicate).
b) Translate your equation left, right, up, and down.
c) Find the inverse of each of your equations.
Part 2:
Graph each equation and it's inverse on the same coordinate plane. Each pair of equations must be on a separate piece of graph paper, and each original function should be in one color and the inverse in another color.
Part 3:
a) Solve each equation (you must show your work).
b) Graph each solution on the graphs you created for part two. If there is no solution state why no solution exists.
Part 4:
Write no more than 3 equations that use all the properties of logarithms when solving. Then use numerical values to show your solution is correct.
Part 5:
Write a common logarithmic expression for every integer from 1-20.
Part 6:
a) Reflect each of your exponential equations from part 1 and 2 to make them exponential decay equations.
b) Graph each set of equations on the same coordinate plane in different colors.
All of these parts must be included the same Google Doc. Follow the LINK for the template for the Final Task.