College Algebra - Can You Solve This Log Equation? log(3x + 7) + log(x − 2) = 1 (Step-by-Step)

Logarithmic equations can feel intimidating — but once you understand the rules, they become surprisingly manageable. In this lesson, John Zimmerman, Certified Math Teacher with decades of experience, shows you step-by-step how to solve the equation: log(3x + 7) + log(x − 2) = 1 You’ll learn how to combine logarithms, apply key log properties, and solve the resulting equation safely and correctly. ________________________________________ 💡 What You’ll Learn • How to combine logarithms using the product property • How to rewrite log expressions into exponential form • How to solve the resulting algebraic equation • How to check for extraneous solutions (a major log mistake!) • Why logs appear in algebra, precalculus, and high-stakes exams ________________________________________ 👨‍🏫 Who This Video Is For ✅ Algebra 2 & Pre-Calculus Students ✅ Homeschool Students ✅ GED, SAT, ACT, ASVAB, PRAXIS, CLEP Test Prep ✅ International Students Studying Logarithms ✅ Adults reviewing higher-level algebra skills ________________________________________ 👉 Need Help With Math? Get full lessons, worksheets, quizzes, and expert instruction at TabletClass Math Academy: 🔗 https://TCMathAcademy.com Popular Math Courses: Math Foundations https://tabletclass-academy.teachable.com/p/foundations-math-course Math Skills Rebuilder Course: https://tabletclass-academy.teachable.com/p/math-skills-rebuilder-course Pre-Algebra https://tabletclass-academy.teachable.com/p/tabletclass-math-pre-algebra1 Algebra https://tabletclass-academy.teachable.com/p/tabletclass-math-algebra1 Geometry https://tabletclass-academy.teachable.com/p/tabletclass-math-geometry1 Algebra 2 https://tabletclass-academy.teachable.com/p/tabletclass-math-algebra-21 Pre-Calculus https://tabletclass-academy.teachable.com/p/tabletclass-math-pre-calculus Math Notes: https://tcmathshop.com/ If you’re looking for a math course for any of the following, check out my full Course Catalog at: https://TCMathAcademy.com/courses/ • MIDDLE & HIGH SCHOOL MATH • HOMESCHOOL MATH • COLLEGE MATH • TEST PREP MATH • TEACHER CERTIFICATION TEST MATH