• Mathematical Methods
  • Year 12

The logarithmic function

approx. 7 hrs

6 topics

10 concepts

Build mastery of logarithmic functions.

Available in


In this learning program, students will explore the relationship between the exponential and logarithmic functions. Students will develop proficiency in selecting and applying the laws of logarithms to simplify algebraic expressions and solve equations. We will help students graph various transformations of the logarithmic function. In addition, students will learn how to interpret and use logarithmic scales.

Topics & Concepts We Cover

This learning program is made up of the following 6 topics, broken down into 10 concepts.

  • Definition of logarithms 2 concepts

    1. Converting exponential form to logarithmic form

    2. Converting logarithmic form to exponential form

  • Graphs of the logarithmic function 2 concepts

    1. Sketch a logarithmic function with transformations

    2. Examine the inverse relationship between logarithms and exponentials

  • Algebraic expressions and logarithms 1 concept

    1. Simplify expressions using the laws of logarithms

  • Equations and logarithms 3 concepts

    1. Solve logarithmic and exponential equations

    2. Solving equations involving the logarithmic function

    3. Solve simple equations that involve logarithms

  • Exponential growth and decay problems 1 concept

    1. Applying exponential rules to growth and decay problems

  • Application of logarithmic scales 1 concept

    1. Applications of logarithmic scales

What you'll get

Learning Content

  • A customised learning plan to suit your needs, adapting to your pace as you learn, progress and achieve mastery
  • All the content required to help you master the syllabus, including theory, worked examples, exam preparation and practice questions

An Expert Tutor

  • We match you to a private, expert tutor who is right for your needs and goals
  • Our tutors are talented, tested, top ATAR achievers and subject experts
  • During each session, your tutor guides you through your learning program, providing real-time, live expert tutoring in The logarithmic function


  • Access information at every stage showing what's been mastered, what areas need to be worked on and what's next
  • You and your parents receive a comprehensive feedback report after every session
  • Every session is recorded and available for you to watch at any time, allowing you to review what was covered

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Starting at

$49(inc. GST)

per session

Fully flexible

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Access to practice questions

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