Exponential and Logarithmic Functions · Functions and Relations

Logarithmic Laws and Scales

Using logarithms to solve exponential equations and interpreting data on logarithmic scales like pH or Richter levels.

Key Questions

  1. 1How do logarithms transform multiplicative processes into additive ones?
  2. 2Why are logarithmic scales more effective than linear scales for representing vast ranges of data?
  3. 3What is the relationship between the graph of an exponential function and its logarithmic inverse?

ACARA Content Descriptions

AC9MFM07
Year: Year 12
Subject: Mathematics
Unit: Exponential and Logarithmic Functions
Period: Functions and Relations

Suggested Methodologies

Ready to teach this topic?

Generate a complete, classroom-ready active learning mission in seconds.

Generate a Custom MissionBrowse Lesson Plan Templates

More in Exponential and Logarithmic Functions

The Natural Base e

Understanding the unique properties of the number e and its role in continuous growth models.

2 methodologies

Modeling Growth and Decay

Applying exponential functions to carbon dating, population dynamics, and Newton's Law of Cooling.

2 methodologies

Browse curriculum by country

AmericasUSCAMXCLCOBR
EuropeUKIEFRDEESITNLPTSE
Asia & PacificINSGAU