 ## Exponential & Logarithmic Functions Unit

Topics Include:
Exponents w/ Multiple Terms
Rewriting Exponentials as Like Terms
Exponential Functions
Simple & Compound Interest
The constant e
Population Growth
Half-Lives & Decay Applications
Intro to Logarithms
Solving Equations with Logarithms & Exponents
Logarithmic Functions

```Good morning,

First, thanks for these lessons and resources; they are such a great help! However, I have a question - may someone please explain the rationale for teaching 'Rewriting and Simplifying Exponential Expressions' and 'Solving Exponential Equations Using Common Bases' before teaching the concept of Exponential Functions, and then going back to Solving Equations later in the unit? It doesn't seem very coherent and most teachers I have worked with teach the concept of Exp Functions before doing applications and solving. I want to understand before implementing it the NJCTL way.

Thanks!
Christina```
```Dear Christina,

Thank you for your comment.  When writing the Exponential & Logarithmic Functions unit, we decided to have the students tackle problems using familiar algebraic/arithmetic operations from Algebra I (i.e. the rules of exponents are being used to change the base of the expressions).  Next, we went into the exponential functions and their growth applications (some of which require the students to change the base of the exponential term).  Then we derive the value of e and brought in application problems using e before turning to exponential decay problems.  After covering the exponential functions, we introduce logarithms and how equations can be solved using logarithms and exponentials (w/out having to change the base of the exponents).  Lastly, logarithmic functions are covered.

Please let us know if you have any other questions.

Kind regards,

Audra```
`Ohhh ok, thank you! That makes more sense now! I am teaching this class for the first time, so your explanation was a big help!!`
```Dear Christina,