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O LEVEL MATHEMATICS ยท INDICES & LOGARITHMS

Indices & Logarithms

Learn how powers, roots and logarithms connect, and use them to simplify expressions and solve equations efficiently.

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2 1 , 2 2 , 2 3 , 2 4

Watch powers grow, then run the idea backwards with logarithms.

Learning Roadmap

Begin with the meaning of indices, then move through the laws, roots, reciprocals and logarithms before solving equations.

01 Foundation
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Meaning of Indices

Understand base, index and repeated multiplication.

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02 Core
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Laws of Indices

Use the multiplication, division and power laws correctly.

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03 Core
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Zero, Negative & Fractional Indices

Connect zero powers, reciprocals and roots.

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04 Challenge
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Simplifying & Index Equations

Simplify expressions and solve equations by matching bases.

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05 Foundation
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Introduction to Logarithms

See logarithms as the inverse of indices.

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06 Core
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Laws of Logarithms

Apply product, quotient and power laws.

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07 Challenge
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Solving Logarithmic Equations

Convert forms and solve structured equations.

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08 Revision
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Mixed Practice

Strengthen indices and logarithms through varied questions.

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09 Assessment
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Final Checkpoint

Test your understanding with exam-style questions.

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