Exponential and logarithmic functions

Use graphs and inverse relationships to interpret changes and solutions.

Meaning

and are inverses for and Whether the base is above or below 1 determines increase or decrease.

Example

The point on corresponds to on Their graphs reflect across Exponential functions have all real inputs, whereas real logarithms require positive inputs. Zero and negative numbers are excluded.

Practice for this concept

Scope and references

Topics

Increasing and decreasing, graphs, inverse relationships, equations and inequalities

Learning goal

Use graphs and inverse relationships to interpret changes and solutions.

Helpful background

Connect exponent and logarithm meanings with inverse functions.