How to Evaluate Logarithms: Finding Exact Values - Algebra Tutorial

Learn how to evaluate logarithms by finding their exact values using the definition of a logarithm! 🧮 In this beginner-friendly algebra tutorial, we break down the relationship between logarithmic and exponential forms to solve problems step-by-step.

We cover simple integer examples, how to handle fractions (negative exponents), and how to work with roots (fractional exponents). No calculator needed! By the end of this video, you will understand the 'Log Loop' trick and how to convert log equations into exponential equations to find the answer easily. 💡

Topics Covered:
Definition of a Logarithm
Converting Logarithmic to Exponential Form
Solving Simple Logs (log base 2 of 16)
Solving Logs with Fractions (log base 5 of 1/25)
Solving Logs with Roots (log base 36 of 6)
Properties of Logarithms (Identity and Zero properties)
Common Log vs Natural Log

Perfect for Algebra 2 students, Pre-Calculus review, or anyone looking to refresh their math skills! 🎓

Chapters:
00:00 - Evaluating Logarithms
00:17 - What is a Logarithm?
00:39 - The Log Loop Trick
00:58 - Example 1: Simple Evaluation
01:21 - Example 2: Powers of Base
01:39 - Fractions & Negative Exponents
02:01 - Roots & Fractional Exponents
02:22 - Important Properties
02:43 - Common & Natural Logarithms
03:01 - Summary
03:19 - Outro

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