• Mathematics Advanced
  • Year 10


approx. 10 hrs

3 topics

13 concepts

Build mastery in the application of logarithmic laws.

Available in


In this learning program, students will use the definition of a logarithm to establish and apply the laws of logarithms. We will help students effectively combine algebraic manipulation and logarithmic relationships to solve a range of problems varying in complexity.

Topics & Concepts We Cover

This learning program is made up of the following 3 topics, broken down into 13 concepts.

  • Relationship between Exponentials and Logarithms 4 concepts

    1. Solve simple equations that involve logarithms

    2. Converting exponential form to logarithmic form

    3. Converting logarithmic form to exponential form

    4. Examine the inverse relationship between logarithms and exponentials

  • Logarithmic Laws 7 concepts

    1. Log of a product

    2. Log of a reciprocal

    3. Log of 1

    4. Log of a power

    5. Log of a quotient

    6. Log of a base

    7. Simplify expressions using the laws of logarithms

  • Solving Exponential Equations 2 concepts

    1. Solving exponential equations by taking the logarithm of both sides.

    2. Solving exponential equations by equating the power

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 Logarithms


  • 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

Ready to start this program?

Simply pick a time that works for you

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We'll be in contact to match you with one of our top tutors and book your first session

Starting at

$49(inc. GST)

per session

Fully flexible

PAYG and bundle plans

Use anytime

Access to practice questions

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