11-28 More class notes - Converting to and from logarithmic expressions

If a term uses the log function, and the symbol "log" does not have a subscript, we agree that the base is 10.

The log of a value is the exponent which, when the base 10 is raised to that power, gives the value.

Logarithmic expressions relate a common base, one or more exponents, and one or more values.

To condense a logarithmic expression is to end up with using the log symbol only once.

To expand a logarithmic expression is to start with one use of the log symbol and to end up with several terms using the log symbol.

A non-log expression for a value is turned into a logarithmic expression by using the base of 10 (or deciding on a base), and finding value that makes the statement "10^exponent = value" true.

An expression which multiplies two factors with a common base becomes
a logartihmic expression which adds two exponents.

When you change from a logarithmic expression which adds several log terms to
a non-logarithmic expression, you take out the "log"symbols and use the exponents with
a common base in the factors being multiplied.