Master changing the base of logarithms and solving logarithmic equations with these practice worksheets and full step-by-step solutions.
Help your A-Level, IB, and High School Mathematics students master change of base logarithm concepts! This complete resource includes focused practice problems and step-by-step worked solutions designed to build fluency in evaluating logs and solving equations.
What is included:
- Section 1: Evaluating logarithmic expressions to 3 decimal places using the change of base formula.
- Section 2: Solving complex logarithmic equations requiring change of base and quadratic substitution methods.
- Step-by-Step Solutions: Full worked answers for every question to simplify marking and enable student self-assessment.
Topics Covered:
- Change of Base Formula for Logarithms
- Evaluating Logarithms with Non-Standard Bases
- Solving Logarithmic Equations
- Quadratic Substitution with Logarithmic Expressions
Get this resource as part of a bundle and save up to 44%
A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
Bundle
Exponential & Logarithms Bundle Worksheets | Algebra 2 Precalculus
Master logarithms and exponential equations with this comprehensive 3-worksheet bundle featuring full worked solutions. Help your High School, A-Level, and IB Mathematics students build mastery in exponential and logarithmic functions! This complete 3-resource bundle provides thorough practice problems paired with full step-by-step answer keys to build conceptual understanding and procedural fluency. **What is included in this bundle:** - Resource 1: Intro to Logarithms - Converting between exponential and logarithmic form, evaluating logarithms, and solving basic log equations. - Resource 2: Laws of Logarithms - Combining, expanding, and simplifying logarithmic expressions using the product, quotient, and power rules. - Resource 3: Solving Exponential Equations - Solving linear and multi-step exponential equations using logarithms and quadratic substitution methods. - Complete Worked Solutions: Full step-by-step answer keys for all 3 worksheets to make marking quick and self-assessment seamless. **Topics Covered:** - Converting Exponential and Logarithmic Forms - Evaluating Logarithmic Expressions - Product, Quotient, and Power Rules of Logarithms - Expanding and Condensing Logarithmic Expressions - Solving Exponential Equations with Base 10 and Non-Standard Bases - Quadratic Substitution Method (y = a^x)
£3.90
Bundle
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
Properties of Logarithms Bundle | Algebra 2 Laws & Change of Base Worksheets
Master logarithmic rules, expansion proofs, and change of base calculations with this ready-to-print A-Level number pack! This Laws of Logarithms Bundle provides fully structured work sheets to help students confidently evaluate logs without a calculator and solve complex algebraic log equations. Perfect for A-Level Mathematics, Core Pure modules, homework revision, or independent cover work. ________________________________________ Are your students finding it difficult to apply the laws of logarithms when simplifying multi-term expressions? Do they need clear, structured practice with the change of base formula and handling advanced logarithmic equations using algebraic substitution? This comprehensive sixth-form maths bundle removes the complexity from advanced logarithmic functions. Designed with a clear, step-by-step layout, it builds student confidence across AS and A-Level Mathematics courses (including Edexcel, OCR, and AQA specifications). Whether you are introducing log laws for the first time, setting homework, or looking for high-quality revision work sheets, this resource fits seamlessly into your mathematics planning. **Key Topics Covered in This Pack:** • **Changing the Base of a Logarithm:** Structured practice changing abstract logarithm bases into base 10 or calculating exact fractional powers manually without a calculator. • **Laws of Logarithms:** Targeted exercises practicing the addition, subtraction, and power multiplier laws to express complex strings as a single simplified logarithm. • **Solving Logarithmic Equations:** Advanced algebraic problem-solving pages where students apply substitution tricks (such as creating hidden quadratics) to solve for unknown variables. **What is Included in the Download?** • **Premium Student Work Sheets:** Professionally formatted PDF pages with clean, clutter-free layouts, clear font sizes, and plenty of space for students to write out their full mathematical working. • **Complete Teacher Answer Keys:** Fully worked-out, step-by-step algebraic solutions to ensure stress-free marking, simple grading, or quick student self-assessment. **Curriculum Alignment:** • **Perfect for A-Level Mathematics** algebra and functions strands. • **Aligned with standard specifications** for working fluently with the laws of logarithms, understanding the change of base law, and solving exponential or log equations. ________________________________________
£3.35
Something went wrong, please try again later.
This resource hasn't been reviewed yet
To ensure quality for our reviews, only customers who have purchased this resource can review it
Report this resourceto let us know if it violates our terms and conditions.
Our customer service team will review your report and will be in touch.
£1.70