You should KNOW

1. The properties of logarithms as given e.g. in JIT p. 163.

These must be understood and __memorized__. All except the change of base formula can be easily understood in terms of the definition

of **a^(nm)** as "the number to which you raise a to get x" and

familiar facts about powers. For example

**log_a(xy) =log_a x+log_a y** because **a^(n+m) = a^n a^m** (Think about it.)

2. How to use the change of basis formula and your calculator

to find **log_a x** in terms of either natural or common logs.

You should be ABLE TO

1. Use properties of logarithms to simplify and/or combine

log and exponential expressions, and solve equations of

various kinds involving logarithmic and exponential functions.

2. Solve a variety of problems about exponential

growth and decay, including compound interest,

population growth, radioactive decay. (This

will be a continuing thread.)