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Laws of logarithms worksheet no 2 (with solutions)

Laws of logarithms worksheet no 2 (with solutions)

Subject: Mathematics

Age range: 14-16

Resource type: Worksheet/Activity

Last updated

11 August 2026

pdf, 134.21 KB
pdf, 134.21 KB

A worksheet on special cases of logarithms and the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Detailed solutions are included. Good for A level students.

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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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Logarithms Worksheet Bundle | Properties, Laws, Change of Base & Equations

A collection of four worksheets on logarithms. The following worksheets are included: * Basic properties of logarithms * Addition and power laws of logarithms * Laws of logarithms * Changing the base of logarithms Solutions are provided. Master logarithmic laws and equations with this complete A-Level Maths worksheet bundle! Perfectly optimized for Year 12 and Year 13 Pure Mathematics revision, this pack covers basic log properties, expanding, condensing, change of base, and solving complex log equations with full worked solutions. Looking for a comprehensive, print-and-go resource pack to help your sixth-form students confidently master logarithms? This Laws of Logarithms Mastery Worksheet Bundle contains a highly structured collection of problems designed to build calculation fluency and deep analytical confidence. Moving from basic non-calculator rules and multi-term simplifications to complex expansion indices and algebraic equations that turn into quadratic factors, this resource is perfect for daily secondary lessons, independent revision booklets, structured homework assignments, cover work, or university preparation! Every page is uncrowded and comes accompanied by a complete, step-by-step worked answer key making marking quick and straightforward for busy teachers or peer assessment. **What's Included in This Bundle?** • **Basic Properties of Logarithms:** Non-calculator evaluations introducing fractional tracking and nested expressions. • **Addition and Power Laws:** Exercises for writing multiple log expressions as a single term, alongside evaluating numerical strings. • **Expansion of Logs:** Writing complex composite equations explicitly in terms of log_a(x), log_a(y), and log_a(z) using rules of division and roots. • **Changing the Base & Solving Equations:** Using change of base laws to evaluate decimal values alongside working out algebraic equations using quadratic substitution (such as setting log_a(x) equal to y). **Perfect For:** • AS & A-Level Mathematics: Targeted Pure Maths practice for Year 12 and Year 13 students securing core algebra marks. • IB Diploma & Further Maths: Rigorous algebraic manipulation training for advanced algebraic tracks. • Cover Work & Homework Extensions: Structured layouts requiring zero prep work from you or a supply teacher.

£3.95
Bundle

Laws of logarithms Bundle

A collection of three worksheets on special cases of logarithms and the three basic laws of logarithms (adding logarithms with the same base, subtracting logarithms with the same base and simplifying the logarithm of a power). Detailed solutions are included. Good for A level students.

£3.35

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