Solving Exponential and Logarithmic Applications

Solving Exponential Equations using Logarithms

In this post we look at exponential equations where we cannot solve them by getting a common base on both sides. We accomplish this by taking the log of both sides and then applying the logarithm laws to both sides to allow us to solve for the unknown.

An example:



Solving Exponential Equations by Getting the Same Base

This post is about solving exponential equations by getting the same base on both sides. Since the bases are the same the exponents must be equal. Some examples from class:

 

 

Logistic Functions

Dominoes - Relationships between the Number of the Dominoe and Various Variables

Students watched this video and then were examined the relationship  between the number of the dominoe and some variable. Here were the variables I assigned.

Once groups had their variable to examine I asked them to create a poster that had the following.

 

Transformations of Functions

Students were put in visible random groups of three alphabetically by first name. They brainstormed all the transformations they could remember and filled in a chart with three columns.
1) a description of the transformation
2) the function mapping f(x) --->
3) the ordered pair mapping (x,y) --->

We consolidated this as a class.

Overwijkitis

Here was the task.

Sept 11, 2014 BREAKING NEWS: Overwijkitis Virus Loose at Glebe

Strange behaviour at Carleton University last week has been linked to a new virus, called Overwijkitis, being researched in university labs.  University officials are strongly advising that students remain in their homes and away from anyone who may be infected.  Those who have been infected can be distinguished from others by a distinct red mark on their hands.  Anyone with these red marks is infected.

Zombies infect one other person per day in order to stay alive.  It is expected that the virus will spread next to neighboring towns and cities.