Beyond the Basics: Conquer Log Equations [Intermediate]

You’ve mastered the basics of solving logarithmic equations, now it’s time to take it up a notch. In this lesson, we dive into intermediate log equations that feature squared logs, change of base tricks, nested logs, and even quadratic forms. Step by step, you’ll see how to approach each kind of problem with the right strategy. Relevant Videos: Solving Log Equations [Intro] -    • Unleash The Power: Solving Log Equations M...   Composite Functions [Intro] -    • Two Functions in One? Learn Composite Func...   You’ll learn: How to handle equations where the entire log expression is squared How to use the Change of Base Rule to simplify equations with different bases How to solve logs inside logs by treating them like composite functions How to recognize and solve quadratic forms in logarithmic equations using substitution This lesson is ideal for students in Grade 10–12 math courses including Pre-Calculus, Algebra II, Functions, or Advanced Functions, as well as those studying AP Precalculus, AP Calculus, IB Mathematics (AA SL/HL), IGCSE, or A-Level Math. Chapters 00:00 - Introduction 00:18 - Log Equation Where The Entire Log Expression is Squared 2:13 - Log Equation Using Change of Base Rule 3:31 - Composite Functions with Logarithms 5:14 - Log Equations in Quadratic Form 6:45 - Recap and Check Your Understanding Question Leave your answer in the comments below, and let us know what kind of math content you want to see next! Like and subscribe for more math tutorials from Your Math X-Plained.