1. Section 4.1 Logarithms and their Properties

2. Suppose you have $100 in an account paying 5% compounded annually. –Create an equation for the balance B after t years –When will the account be worth $200?

3. In the previous example we needed to solve for the input Since exponential functions are 1-1, they have an inverse The inverse of an exponential function is called the common logarithm function or the log function In other words

4. Example Simplify the following expressions using logs

5. Logarithms are just exponents Evaluate the following:

6. Logarithms are inverses of exponential functions so Evaluate

7. Properties of the common Logarithm

8. The Natural Logarithm

9. Evaluate