7.2 Logarithms and inverse functions

Ideas in this lesson

Convert between forms

A logarithm is an exponent: the base raised to the logarithm equals its positive argument.

Evaluate logarithms

Find the exponent that produces the argument from the given positive base other than one.

Logarithmic asymptotes

A shifted logarithm has a vertical asymptote where its argument approaches zero from the permitted side.

Natural logarithms

The natural logarithm has base e and is the inverse of the natural exponential.

Logarithmic domains and graphs

Require a positive argument; a horizontal shift locates the vertical asymptote.