Expanding Logarithmic Expressions (More Challenging Examples)

Ready to master expanding logarithms? 🤔 This video dives into the essential properties of logarithms, showing you how to break down complex logarithmic expressions into simpler sums and differences!

Mario's Math Tutoring walks you through challenging examples, demonstrating how to handle roots (which are fractional exponents), powers, multiplication, and division within a logarithm. You'll learn the power property, product property, and quotient property of logarithms step-by-step.

In this tutorial, you'll discover:

Rewriting Roots as Exponents: How to convert nth roots into fractional powers for easier expansion.
Distributing Exponents: Applying the power-to-a-power rule before expanding.
Product Property: How log(xy) expands to log(x) + log(y).
Quotient Property: How log(x/y) expands to log(x) - log(y).
Power Property: How log(x^n) expands to n * log(x).
Handling Denominators: A simple trick to remember that terms from the denominator result in subtraction.
Complex Expansions: Tackling problems with multiple operations and variables.
By the end of this video, you'll be able to confidently expand any logarithmic expression!

#Logarithms #ExpandingLogs #LogProperties #Algebra #PreCalculus #MathTutorial #LogarithmRules #MathHelp #MarioMathTutoring

Timestamps:
00:00 Properties of Logs
0:13 Product Property of Logarithms
0:26 Quotient Property of Logs
0:32 Power Property of Logs
0:43 Example 1 Expand log base 7 of (4th root of (x^2y^3/z))
0:53 Writing Radical as a Rational Exponent (Fractional Exponent)
1:11 Simplify Using the Power to a Power Rule of Exponents
2:30 Example 2 Expand the Logarithm

Related Videos:

Expanding and Condensing Logs Examples
   • Expanding and Condensing Logs  

Logs Everything You Need to Know
   • Logs Everything You Need to Know  

Organized List of My Video Lessons to Help You Raise Your Scores & Pass Your Class. Videos Arranged by Math Subject as well as by Chapter/Topic. (Bookmark the Link Below)
http://www.mariosmathtutoring.com/fre...

➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)
   / @mariosmathtutoring