You should KNOW

1. That ** log_a x** is "the number to which you must raise a to get x."

and that therefore saying that **log_a x = y** is exactly the same thing

as saying that **a^y = x**.

2. That logarithmic function **f(x) = log_a x** is the inverses of exponential functions with base a.

3. The properties of the graphs of logarithmic functions with

various bases, how they compare to each other, and how they

are related to the graphs of the exponential function with

the same base.

4. The convention that **ln(x) = log_e x** ("natural logs") and** log(x)=log_10 x** ("common logs").

You should be ABLE TO

1. Convert exponential equations to their logarithmic equivalents

and vice versa.

2. Find inverses of log and exponential functions.

3. Solve simple exponential and logarithmic equations.

4. Solve a variety of problems about exponential

growth and decay, including compound interest,

population growth, radioactive decay. (This

will be a continuing thread through the next few

topics.)