MAC1140 Precalculus – Review of Solving Exponential & Logarithmic Equations | June 17, 2026

In this review lesson, we focus on solving a variety of exponential and logarithmic equations using algebraic techniques, logarithm properties, and calculator methods. The lesson emphasizes efficient problem-solving strategies, multiple-choice test preparation, and avoiding common mistakes. 📈 Solving Exponential Equations Expressing both sides with the same base Equating exponents Solving equations involving powers of 2, 3, 4, and other bases Using common logarithms and natural logarithms when bases cannot be matched Solving exponential equations with exact answers Finding decimal approximations using a calculator Exponential equations involving multiple exponential terms 📘 Solving Logarithmic Equations Converting logarithmic equations to exponential form Using the "Log Equals Exponential" (LEE) method Applying product, quotient, and power properties of logarithms Combining logarithms into a single expression Solving logarithmic equations algebraically Checking solutions against domain restrictions Identifying and rejecting extraneous solutions 🎯 Exam-Style Practice Problems Multiple-choice exponential equations Multiple-choice logarithmic equations Exact-answer solutions Calculator-based approximations Common exam traps and shortcuts Efficient elimination strategies for multiple-choice questions 📝 Test-Taking Strategies & Common Mistakes Choosing between base conversion and logarithms Recognizing when logarithm properties simplify the work Avoiding domain errors in logarithmic equations Checking for extraneous solutions Using calculator techniques efficiently on exams Examples are worked step-by-step with an emphasis on practical problem solving, exam preparation, test-taking strategies, and avoiding common mistakes. This lesson serves as a focused review of solving exponential and logarithmic equations from Chapter 4.