---
title: "AA.FGR.3: Exponential & Logarithmic Functions (Georgia Mathematics standard)"
code: AA.FGR.3
cite_as: Georgia Standards of Excellence, Mathematics, AA.FGR.3
subject: math
grades:
  - high-school
language: en
canonical_url: https://georgiahomeroom.org/standards/code/AA.FGR.3
md_url: https://georgiahomeroom.org/standards/code/AA.FGR.3.md
alternate_language_url: https://georgiahomeroom.org/es/standards/code/AA.FGR.3.md
source_url: https://case.georgiastandards.org/ims/case/v1p1/CFDocuments/e9dd7229-3558-4df2-85c6-57b8938f6180
source_last_changed: 2024-10-09
data_built: 2026-09-18
publisher: Georgia Homeroom, a free public-interest project of Georgia Civic Data. Not affiliated with or endorsed by the Georgia Department of Education or any school district.
up: https://georgiahomeroom.org/standards/math/high-school.md
index: https://georgiahomeroom.org/standards/index.md
---

# AA.FGR.3: Exponential & Logarithmic Functions

Explore and analyze structures and patterns for exponential and logarithmic functions and use exponential and logarithmic expressions, equations, and functions to model real-life phenomena.

- Subject: Mathematics
- Appears in: High School, https://georgiahomeroom.org/standards/math/high-school.md

## Expectations

- **AA.FGR.3.1**: Find the inverse of exponential and logarithmic functions using equations, tables, and graphs, limiting the domain of inverses where necessary to maintain functionality, and prove by composition or verify by inspection that one function is the inverse of another.
- **AA.FGR.3.2**: Analyze, graph, and compare exponential and logarithmic functions.
- **AA.FGR.3.3**: Use the definition of a logarithm, logarithmic properties, and the inverse relationship between exponential and logarithmic functions to solve problems in context.
- **AA.FGR.3.4**: Create exponential equations and use logarithms to solve mathematical, applicable problems for which only one variable is unknown.
- **AA.FGR.3.5**: Create and interpret logarithmic equations in one variable and use them to solve problems.
- **AA.FGR.3.6**: Create, interpret, and solve exponential equations to represent relationships between quantities and analyze the relationships numerically with tables, algebraically, and graphically.
- **AA.FGR.3.7**: Create, interpret, and solve logarithmic equations in two or more variables to represent relationships between quantities.

## Georgia Milestones coverage

No Georgia Milestones blueprint cites this standard.

Source: Georgia Standards of Excellence, published by the Georgia Department of Education at case.georgiastandards.org.