Chapter 4

4.3 – Logarithmic Equations and Identities

Warmup: Try this before checking the solution.
Solution: Try the warmup before checking the solution.

Objectives

Use the properties of logarithms to simplify expressions involving logarithms.
Solve application problems and equations involving logarithms.

Examples/Definitions

The following rules are used to simplify expressions with logarithmic terms:

where u and v are any positive expressions and x is any real number.

Some other important results to help simplify logarithmic expressions are:

then where y can be any positive expression.

where x and y represent positive expressions.

The change of base formula is