Graphing, Domain & Inverses of Logarithmic Functions Worksheet | Algebra 2

Logarithm Properties Graphing & Equations Practice Worksheets Bundle | Algebra 2

Three worksheets on the following topics * Introduction to Logarithms: The exercises require converting expressions from exponential to logarithmic form, evaluating given logarithms and solving equations involving logarithms or exponential equations. * Properties of Logarithms: The exercises require using the basic properties of logarithms, product rule, division rule, power rule/exponential rule and change of base rule. * Logarithmic Function: he exercises require to sketch graphs of such functions, find their domain and the functions which are symmetric to them about the line y=x. Detailed solutions are included. Looking for the ultimate, ready-to-use revision collection to help your students master logarithms? This comprehensive, deeply discounted 4-packet worksheet bundle covers everything from basic evaluation and function sketching to advanced rational domains, laws of logarithms, and exponential equations. Best of all, it includes 22 full pages of detailed, step-by-step worked solutions to save you hours of marking time! ________________________________________ The Ultimate Laws of Logarithms Practice & Revision Bundle! Give your students a flawless, rigorous foundation in logarithms with this complete maths resource package. This deeply discounted bundle merges four distinct, scaffolded practice sets into one cohesive curriculum tool, making it perfect for A-Level Mathematics, Core Maths, Advanced Higher, and upper secondary maths students preparing for upcoming algebra exams, assessments, or end-of-term mocks. Designed for high utility with zero teacher preparation required, this bundle provides a clear, logical progression from basic inverse definitions to advanced algebraic manipulation and functional graphing constraints. ________________________________________ **What is Included in This Comprehensive Bundle?** **Resource 1: Introduction to Logarithms & Exponential Equations** • 36 Scaffolded Problems focusing on foundational conversion and equation mechanisms. • Form Conversion: 12 problems converting index laws and root structures into logarithmic notation. • Numeric Evaluation: 14 multi-base problems evaluating exact outputs without a calculator. • Basic Equation Solving: 14 multi-step tracks solving for an unknown variable "x" by converting forms or using natural logarithms (ln). • Exponential Isolation: 8 equations requiring base changes and exact or 3-decimal place answers (covers base-10 and base-e inputs). **Resource 2: Properties & Laws of Logarithms (Deep Dive)** • 8 Multi-Part Problem Sets focused on practical log law applications. • Expressing as a Single Logarithm (Condensing): 6 multi-step problems using product, quotient, and power properties to compress variable systems. • Expression Expansion: 10 problems rewriting complex algebraic and radical systems strictly in terms of given variables (a and b). • Change of Base & Identity Proofs: 8 targeted validation tracks where students mathematically verify logarithmic equivalence and product cancellations. **Resource 3: Sketching, Domain & Inverses of Logarithmic Functions** • Sketching Activities: Coordinate grid layouts where students plot parent logarithmic curves with varying bases to visually identify vertical asymptotes and key coordinates. • Algebraic Domain Constraints: 8 rigorous problems forcing students to calculate valid interval restrictions across linear, quadratic, algebraic fraction, and rational log arguments. • Symmetry & Inverses: Functional analysis problems using reflection symmetry across the line y = x to cleanly bridge exponential and logarithmic structures. **Resource 4: Properties of Logarithms (Calculations & Revision)** • An additional targeted assignment focusing entirely on properties and structural evaluation. • Covers base identity rules, fractional denominators, embedded logarithms, and root indices. • Ideal for a secondary day of mastery practice, independent homework assignments, or emergency cover work. ________________________________________ **Complete Step-by-Step Answer Keys Included** Every single problem across all four resources features a dedicated, line-by-line worked solution. The answer key shows every algebraic step, interval mapping, log law application, and base change. This makes the bundle perfect for student self-assessment, independent study, or instantaneous teacher marking. **Why Teachers Love This Bundle:** • Ready to Teach: Just print the exact pages your students need and pass them out! An instant addition to your maths curriculum. • Scaffolded Mastery: Students build clear structural confidence on basic values before transitioning into advanced rational domains and algebraic proofs. • Highly Versatile: Perfect for direct classroom instruction, guided group review, independent homework assignments, exam revision packets, or emergency cover work. ________________________________________